中国科学院数学与系统科学研究院期刊网

20 March 2025, Volume 45 Issue 3
    

  • Select all
    |
  • Fixed-Time Sliding Mode Control of AUV Based on Extended State Observer
    JIA Wenjie, WANG Shubo
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 651-669. https://doi.org/10.12341/jssms23924
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    In addressing the three-dimensional trajectory tracking control problem for a six-degree-of-freedom autonomous underwater vehicle under internal uncertainties and external disturbances, a sliding mode control method based on a fixed-time extended state observer is proposed. Initially, the fixed-time extended state observer is employed to estimate the unmeasurable velocity and aggregate disturbance of the system. Simultaneously, a novel predetermined performance function is introduced to enhance the transient performance of the system. Leveraging the outputs of the observer and the predetermined performance function, along with the sliding mode surface, a fixed-time sliding mode controller is designed. The proposed control approach ensures rapid convergence of tracking errors to zero within a fixed time, exhibiting strong robustness and high steady state precision. Numerical simulation results validate the effectiveness of the proposed method.
  • Event-Triggered Based Consensus Control for Platoon Formation of Intelligent Connected Vehicles
    XIANG Yue, LUO Shijian, GUO Shenghui
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 670-682. https://doi.org/10.12341/jssms23921
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    Aiming at the leader-follower intelligent networked vehicle cooperative formation coherence control problem, an observer-based distributed event-triggered control algorithm is proposed. Firstly, by analysing the vehicle dynamics, the vehicle state-space equations are modelled, based on which the system model is constructed and the trigger threshold is designed. Secondly, an observer is designed to solve the problems of system partial state unmeasurability, unknown perturbation and nonlinearity, and a distributed event-triggered control algorithm is proposed by utilizing the estimated states. The algorithm reduces the update frequency of the controller control signal by determining whether the trigger condition is satisfied, thus saving communication and computation resources. The proposed algorithm realizes the estimation of vehicle states, formation control, significantly improves the stability and reliability of the system, and enhances the cooperative efficiency of vehicle formation. Finally, the feasibility and effectiveness of the proposed method are described by simulation experiments on a four-vehicle leader-follower vehicle formation.
  • Set-Membership Filtering Algorithm Design of Networked System Under Hybrid Cyber Attacks
    ZHU Chaoqun, ZHU Xiaolan, ZHANG Pan
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 683-695. https://doi.org/10.12341/jssms23871
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    The design of set-membership filtering algorithms is investigated for discrete time-varying networked systems under hybrid attack environment. Firstly, considering the effects of DoS attacks and deception attacks, the deception attack is modeled as an unknown bounded signal, and two sets of random variables following the Bernoulli distribution are utilized to describe the occurrence probability of the cyber-attacks; Secondly, the set-membership filtering algorithm is designed to ensure that the state estimation error satisfies ellipsoidal constraints, the filtering gain matrix and corresponding ellipsoidal constraint domain are derived by solving two recursive difference equations, and the boundedness problem of time-varying ellipsoidal domains is analyzed; Finally, the effectiveness and superiority of the proposed algorithm are verified by a numerical example.
  • The Sliding Mode Control and Active Disturbance Rejection Control of One-Dimensional Wave Equation with Boundary Control Disturbance
    YANG Kunyi
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 696-707. https://doi.org/10.12341/jssms23899
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    This paper considers the one-dimensional wave equation, with the Dirichlet boundary condition in the one end, and the control with the boundary disturbance in the other end. Firstly, this paper is devoted to design the sliding mode surface, and impose the sliding mode control further, and then this paper proves the stability of the closed-loop system. Secondly, this paper constructs the high-gain estimator, and then designs the active disturbance rejection control. The stability of the closed-loop system has been proven. Finally, this paper simulates the states of the closed-loop systems after imposing the sliding mode control and the active disturbance rejection control. The numerical simulation results show that both of the sliding mode control and the active disturbance rejection control are effective to make the original open-loop system stable.
  • Adaptive Neural Network Formation Collision Avoidance Control for a Class of Second-Order Disturbed Nonlinear Multi-Agent Systems
    LUO Zhiyong, LIU Hongliang, OUYANG Zigen, XIAO Qizhen
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 708-724. https://doi.org/10.12341/jssms23828
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    Aiming at a class of second-order nonlinear multi-agent systems with external disturbances, an adaptive neural network formation control protocol with collision avoidance strategy is proposed. In the design of control protocol, due to the inherent complexity and uncertainty of nonlinear dynamic systems, this paper adopts adaptive neural network to compensate for the uncertainty of nonlinear dynamic systems, effectively solving the difficulty of control protocol design caused by unknown dynamic functions. In addition, in order to prevent collisions between multi-agents, the artificial potential field method is integrated into the formation control protocol. Through Lyapunov stability analysis, it is proved that the proposed control protocol can complete the expected formation control task. Finally, two numerical simulation examples are given to further illustrate the effectiveness of the theory.
  • Prescribed-Time Control for Nonlinear Time Delay Systems via Dynamic Event-Triggered Mechanism
    WANG Xiangwen, CAO Dewen, WU Jian
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 725-736. https://doi.org/10.12341/jssms23793
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    This study focuses on the prescribed-time control problem based on dynamic event-triggered mechanism for a class of nonlinear strict feedback systems with uncertain time delays. A state feedback control strategy is proposed for the high-order nonlinear system with unknown time delays based on the prescribed-time stability theorem. It ensures the convergence of the system within the prescribed-time, and the prescribed-time can be set according to the actual needs. In order to approximate unknown continuous functions in the system online, neural network approximation technique is applied, while the Lyapunov-Krasovskii functionals(LKFs) are employed to compensate for the effect of state delay. In addition, by introducing a dynamic event-triggered mechanism, the controller reduces the communication occupancy rate. The designed controller makes all signals in the closed-loop system remain bounded and stable within the prescribed-time, and the convergence time of the system will not be affected by the initial state of the system and the control parameters. Finally, the feasibility of the design scheme is verified by simulation experiments.
  • Impulse Dependent Stability
    SHAO Lin, SHAO Hanyong
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 737-752. https://doi.org/10.12341/jssms23677
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    This paper is aimed at the impulse dependent stability of impulsive systems by employing a Lyapunov-like functional (LLF) which is neither necessarily positive definite nor necessarily continuous. Firstly, the stability analysis for the certain impulsive system is carried out. A new LLF is constructed by introducing multiple integrals of both state and the state derivative on the two subintervals of the impulsive interval separated by the current instant, and by including the cross products among the integral terms, the state, and the impulsive states. When estimating the derivative of the LLF, high-order integral inequalities are taken to get a tighter upper bound, and integral equations of the impulsive system are exploited to make full use of the system's information. New stability results are thus obtained for the system with the impulsive interval, maximum impulse, and minimum impulse. Secondly, based on the stability results, robust stability results are derived for impulsive systems with uncertainties. The results on both stability and robust stability are in the form of linear matrix inequalities and can be verified using the LMI toolbox in Matlab. Finally, numerical examples are listed to illustrate that the stability results have less conservatism.
  • The Impact of the "Illegal" Public Account Recommendation on the Market and Investors
    WANG Hongping, WANG Yunlong, YANG Xiaoguang
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 753-768. https://doi.org/10.12341/jssms23650
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    Based on the data of some "illegal" public accounts from 2012 to 2020, this paper studies the impact of "illegal" public account recommendations on Chinese stock market and investors. The paper finds that the stocks recommended by "illegal" public accounts experience significant increases in absolute excess returns and trading volume after the information is released, but the long-term cumulative excess returns are significantly lower than other stocks. Empirical results also show that a significant increase in net inflows of individual investors and a significant decrease in net inflows of institutional investors among the recommended rising stocks. Furthermore, the channel tests find that "illegal" public accounts mainly attract investors' attention by creating false private information, and mainly attract users who rely on mobile devices.
  • Research on the Impact of Positive Strategy on Jidoka Production Lines
    NI Jiaqin, GONG Qiguo
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 769-793. https://doi.org/10.12341/jssms23913
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    The issue of employee behavior in the process of intelligent manufacturing is not only a problem in the field of cognitive science, but also a management problem in production. This topic focuses on two dimensions, behavioral cognition and lean, which are interrelated and have their own characteristics. The core issue is to explore the factors and mechanisms that affect labor behavior in the continuous promotion of intelligent manufacturing based on the theoretical perspectives of cognitive bias and lean, and analyze their impact on Jidoka systems. The focus of this study is on the imperfect production process of assembled products, where labor may overlook inspection items due to various factors during the production process. Taking into account Type I and Type II errors, an extended EOQ model is used to optimize the order quantity in order to minimize total costs. Proved that positive lean strategies can eliminate overlooked occurrences, reduce total system costs, and measure the degree of reduction. This paper provides some numerical examples, sensitivity analysis, and graphical tables to illustrate the model.
  • Research on the Relief Effect of Targeted Regulation and Control of Monetary Policy on Small and Micro Enterprises
    LI Yongjian, HUANG Xiangzhong, HUANG Zhigang
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 794-812. https://doi.org/10.12341/jssms23663
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    It is difficult for the total monetary policy to boost output while taking into account risk prevention, while whether the targeted regulation and control monetary policy can take into account both and alleviate the dilemma of small and micro financing remains to be examined. This paper constructs a DSGE model that includes the trade-off mechanism between banks' policy dividends and bad debt risks and the characteristics of credit preference, focusing on the relief effect of targeted RRR reduction and small relending on small and micro enterprises. The results show that from the perspective of the mechanism, targeted regulation of monetary policy can promote economic growth through credit transmission channels and signal transmission channels, but the two are heterogeneous in risk prevention and control. From the perspective of the relief effect, the targeted RRR reduction has a more significant relief effect on small and micro enterprises than the policy of supporting small and micro enterprises. From the perspective of policy mix, the total loose monetary policy will weaken the relief effect of targeted regulatory monetary policy on small and micro enterprises, and the combination of directional regulatory monetary policy can further alleviate the financing difficulties of small and micro enterprises and improve the output level. In addition, this paper further comprehensively evaluates the regulatory efficacy of directional regulation and control of monetary policy from multiple dimensions such as central bank welfare loss function, policy frontier curve and social welfare analysis, and further verifies the robustness of the research conclusions.
  • Research on Pricing and Coordination of Supply Chain Products Considering Power Structure and Channel Heterogeneous R&D
    WANG Daoping, DONG Hanxi, ZHOU Yu
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 813-832. https://doi.org/10.12341/jssms23135
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    This paper considers the manufacturer's differentiated R&D decision-making under different power structures in a dual-channel supply chain with limited R&D capability. Firstly, a three-stage Stackelberg master-slave dynamic game model is constructed and solved. Then it analyzes the influence of the proportion of consumers who prefer online or retail channels and the degree of consumers' quality perception in the two channels on the R&D and pricing strategy and revenue of supply chain members. Finally, a contract scheme based on improved Shapley value is proposed to coordinate the supply chain models under different channel power structures. The results show that:The higher game status of manufacturers, the more willing they are to invest in R&D capability in retail channels; When consumers' perception of quality in two channels is quite different, vertical product differentiation R&D can make manufacturers gain higher profits, and the decline of the manufacturer's game status will narrow the range of the two channel consumers' quality perception coefficient, which can obtain higher profits in the case of non differentiated R&D; After contract coordination, the impact of the fluctuation of retail channel consumers' quality perception on wholesale price is weakened, and when the proportion of consumers in two channels is close, the manufacturer's revenue increment is higher.
  • Blockchain-Enabled Supply Chain Finance and the Risk of Bank Runs
    LIU Yingying, FENG Ling
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 833-852. https://doi.org/10.12341/jssms23795
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    From the perspective of supply chain finance empowered by blockchain technology, this paper proposes a new theoretical model of bank run embedding a two-echelon supply chain. Through theoretical derivation and numerical examples, we explain the endogenous mechanism of supply chain finance and the application of blockchain technology affecting bank run risk. Our model demonstrates that supply chain finance and blockchain technology affect bank run risk through banks' loan screening efforts. Blockchain-enabled supply chain finance has an asymmetrical effect on banks' loan screening efforts, which leads to a similar effect on alleviating information asymmetry between banks and enterprises. Furthermore, there may be an inherent conflict between the role of blockchain-enabled supply chain finance in mitigating credit rationing for SMEs and maintaining financial stability. When blockchain technology alleviates the information asymmetry between banks and enterprises, and the probability of high-quality non-core enterprises is at a high level, applying blockchain to supply chain finance will improve the credit availability of non-core enterprises and lead to a higher risk of bank runs. For this reason, the regulatory authorities can resolve this conflict by appropriately tightening capital regulatory constraints.
  • A Dynamic Large-Scale Group Emergency Decision-Making Method Based on Group Consensus
    LIANG Xia, GUO Jie, LIU Peide, LIU Zhengmin
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 853-869. https://doi.org/10.12341/jssms23648
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    To improve the timeliness of emergency decision-making, the reliability and objectivity of the decision results, a dynamic large-scale group emergency decision-making method is proposed. First, a clustering model considering cohesion within subgroups is established using opinion similarity networks among experts, and a method for determining expert weights based on the hesitancy of expert evaluation information is further explored. Secondly, a personalized feedback adjustment mechanism is established using the similarity and hesitation of opinions between experts to guide the experts who did not reach a consensus to adjust their evaluations. Based on the above work, a dynamic large-scale group emergency decision-making method that considers the hesitant behavior of experts is constructed. Finally, the feasibility of the proposed method is verified through a case study of the heavy rainstorm in Z city. In the end, the method is validated through comparative and simulation analyses to improve efficiency and reduce the time cost of decision-making.
  • Research on the Impact of Asymmetric Contract Models on Freight Companies Under Two-Dimensional Information Updating
    ZHAO Ziming, XING Wei, HUANG Yi
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 870-880. https://doi.org/10.12341/jssms240049
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    Recently, freight rate volatilities have significantly impacted supply chain management of multinational companies. This study investigates the effects of different shipping contract models on competitive companies A and B. Company A adopts long-term shipping contracts to stabilize freight rates, while company B relies on the spot market, where prices vary with demand. Both companies independently observe demand signals and adjust their selling prices accordingly. Our analysis yields the following findings:First, despite company A's shipping cost advantage, company B, utilizing spot purchase, gains a competitive edge during a large freight rate volatility or with strong forecasting capabilities. Second, spot price volatility affects companies' profit adjustments, prompting them to be more responsive to market change. An increase in spot price volatility may be beneficial to companies. Third, enhancing the forecasting capability of both itself and its competitor consistently benefits company A. However, such improvements are advantageous to company B only under specific conditions.
  • The Coupling and Coordination Among Strategic Emerging Industries, High-Quality Economic Development and Common Prosperity
    LU Xunfa, WANG Huiyou, HE Pengchao, LI Xin, LAI Kin Keung
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 881-902. https://doi.org/10.12341/jssms23802
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    This paper provides an in-depth analysis of the triadic coupling and coordination among strategic emerging industries, high-quality economic development, and common prosperity. Based on the data of 90 A-share listed companies and panel data of 30 provinces from 2011 to 2020, this paper firstly measures the levels of strategic emerging industries, high-quality economic, and common prosperity each year by using the entropy method. Secondly, the dynamic coupling and coordination among the three elements are analyzed by using the coupling coordination model. Furthermore, the coupling and coordination among nine strategic emerging sub-industries, high-quality economic development and common prosperity are studied in depth. Finally, the GM(1, 1) model based on the gray system theory is used to predict the coupling coordination levels among the three elements under discussion in the next ten years. The results show that the triadic coupling coordination level of strategic emerging industries, high-quality economic development, and common prosperity gradually increase. Also, the levels of the coupling and coordination among nine strategic emerging sub-industries, high-quality economic development and common prosperity are different. Specifically, the new energy industry and the new energy automobile industry are particularly outstanding in terms of coupling and coordination with high-quality economic development and common prosperity. In contrast, the coupling and coordination level of related service industries is the weakest. Based on the empirical results, this paper puts forward a series of policy recommendations on how to make strategic emerging industries more effective in promoting common prosperity in high-quality development, aiming to provide valuable references for policymakers.
  • Optimal Reinsurance Strategy with Relative Wealth Concern and Mean-Variance Premium Principle
    CHEN Shumin, CHEN Hui
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 903-918. https://doi.org/10.12341/jssms23621
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    This paper studies the optimal reinsurance strategies for insurance companies with model ambiguity. We assume that there are two competing insurance companies and one reinsurance company. The insurance companies purchase proportional reinsurance for risk management. The reinsurance premium is determined according to the mean-variance principle. Both the insurance companies and the reinsurance company aim to maximize the expected utility of wealth at the end of the decision horizon. Using dynamic programming approach, we first write down the HJB equations and then obtain explicit solutions, including the value functions and the optimal reinsurance strategies for the insurance companies. Then, by a similar procedure, we solve the optimization problem for the reinsurance problem and explicitly characterize the reinsurance company's value function and safety loading. Finally, we theoretically and numerically explore the impact of model parameters on optimal reinsurance strategies and obtain some meaningful economic insights.
  • The Effect of Mobile Payment on the Household Leverage in China
    GAN Shunli, LIU Siyao
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 919-940. https://doi.org/10.12341/jssms23423
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    The explosive growth of mobile payments profoundly affects household economic behavior, prompting an exploration into whether the convenience afforded by mobile payments may also give rise to household debt risks. Utilizing China Household Finance Survey data from 2013 to 2019, this study examines the impact of mobile payments on the household leverage ratio, delving into its mechanisms and further conducting heterogeneity analysis. Our findings reveal that:i) Mobile payments substantially increase household leverage, and the results are robust to alternative variable measurement, instrumental variable regression, PSM method, Heckman two-stage model, and cross-sectional regression. ii) Mechanism test results highlight financial literacy and financial accessibility as the dual pathways through which mobile payments affect household leverage. iii) Heterogeneity tests indicate that the impact of mobile payments on household leverage is more significant among those with lower income levels, lower education levels, and a smaller proportion of risky assets. Based on these conclusions, this paper proposes policy implications.
  • N-Fold Compound Option Pricing Based on Mixed Fractional Jump-Diffusion Model
    GUO Jingjun, ZHU Wenqi, WANG Yubing
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 941-960. https://doi.org/10.12341/jssms23917
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    In this paper, the pricing of N-fold compound options under the mixed fractional jump-diffusion model is studied. Firstly, considering that the uncertainty of the financial market cannot be described by random variables, a fuzzy pricing model of N-fold compound option is constructed by using trapezoidal fuzzy stochastic process. Secondly, considering the possibility-necessity weight, pessimism-optimism index and fuzzy risk aversion degree of investors, the average fuzzy price of N-fold compound option is obtained. Finally, the numerical simulation shows that the N-fold compound option pricing model is more realistic under the uncertain environment, which fully considers the influence of long memory and unexpected events.
  • Algorithm Research on Dynamic Generalized Nash Equilibrium with Time Delay
    Wang Xing, Duan Can, Cheng Xinxin, Zhang Yongyan
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 961-978. https://doi.org/10.12341/jssms23549
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    In this paper, a class of nonlinear differential generalized Nash equilibrium problems with time delays are considered. Both the utility functions and the constraints for the generalized Nash equilibrium depend on the state variables, and the state variables are described by delay differential equations. Then, static generalized Nash equilibrium model is extended to delay differential Nash equilibrium. Bellman dynamic programming and Pontryagin maximum principle are usually used to the study of differential Nash equilibrium, but some singularities arise from the time delay, and the computation would result in failure in the use of Bellman and Pontryagin techniques. In this paper, an algorithm is given to solve the delay differential generalized Nash equilibrium model by the use of Euler approach and variational technique, and this algorithm avoids the ruining of the singularities. In addition, the convergence analysis is established for the computational approach. Finally, a numerical example is given to illustrate the validity of the algorithm.
  • Optimization of Dynamic Queueing Model for Call Centers Based on Bayesian Change Point Detection and Reinforcement Learning
    LIU Yi, DAI Hongshuai, WANG Lu, WU Yanhua
    Journal of Systems Science and Mathematical Sciences. 2025, 45(3): 979-992. https://doi.org/10.12341/jssms23839
    Abstract & Html ( ) Download PDF ( )   Knowledge map   Save
    A reasonable service resource allocation strategy is conducive to improving customer satisfaction and the service quality of the call center, and reducing costs. In this paper, we propose a new dynamic queueing model for call centers based on Bayesian change point detection and reinforcement learning. The main objective of this paper is to minimize customer waiting costs and call center agent costs. The Bayesian method is applied to monitor the arrival rate of external customers, and the arrival process is segmented according to the change points. Moreover, the reinforcement learning algorithm is used to obtain the optimal staffing strategy for each segment. On the one hand, the results of stochastic simulation show that the model can balance customer waiting costs and call center agent costs effectively, indicating the effectiveness and advantages of the model and algorithm. On the other hand, we conduct empirical analysis by some business processes of the call center of a US bank. The results show that the proposed model can optimize the number of service staff in time to minimize the cost based on the change of customer arrival rate, which further verify the applicability of the model and algorithm.
Journal Online
News More