中国科学院数学与系统科学研究院期刊网

2023年, 第36卷, 第6期 刊出日期:2023-12-25
  

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  • MEN Yunzhe, SUN Jian
    系统科学与复杂性(英文版). 2023, 36(6): 2255-2273. https://doi.org/10.1007/s11424-023-2407-2
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    This paper focuses on the disturbance suppression issue of hidden semi-Markov jump systems leveraging composite control. The system consists of a semi-Markov layer and an observed mode sequence layer, and it is subject to a matched disturbance generated by an exogenous system and a mismatched disturbance that is norm bounded. The proposal is to design a composite controller based on a disturbance observer to counteract and attenuate the disturbances effectively. By constructing a special Lyapunov function comparison point, the exponential stability is analyzed with the stability criterion in the form of linear matrix inequality is established. Two simulation examples are provided to demonstrate the practical merits of the composite controller relative to the single H control.
  • CONG Shuang, ZHANG Jiaoyang, KUANG Sen, HARRAZ Sajede
    系统科学与复杂性(英文版). 2023, 36(6): 2274-2291. https://doi.org/10.1007/s11424-023-2266-x
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    This paper studies the real-time optimal state estimation-based feedback control for twolevel stochastic quantum systems in the non-Markovian case. The system model is established by combining the time-convolutionless non-Markovian master equation and the stochastic master equation. A nonlinear filter based on the state-dependent Riccati equation is designed in order to achieve the realtime optimal estimation of quantum states. A quadratic function multiplied with an exponential term is selected as the Lyapunov function, and a continuous-time control law is deduced via the stochastic Lyapunov stability theorem to realize eigenstate feedback control based on real-time optimal state estimation. Numerical simulation results illustrate that the proposed control scheme is capable of steering the two-level quantum system from an arbitrary initial state to the desired eigenstate with a fidelity higher than 99% within a time of 3 a.u.
  • ZHENG Yating, LI Changxi, FENG Jun-e
    系统科学与复杂性(英文版). 2023, 36(6): 2292-2308. https://doi.org/10.1007/s11424-023-2076-1
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    This paper investigates the networked evolutionary games (NEGs) with profile-dependent delays, including modeling and stability analysis. Profile-dependent delay, which varies with the game profiles, slows the information transmission between participants. Firstly, the dynamics model is proposed for the profile-dependent delayed NEG, then the algebraic formulation is established using the algebraic state space approach. Secondly, the dynamic behavior of the game is discussed, involving general stability and evolutionarily stable profile analysis. Necessary and sufficient criteria are derived using the matrices, which can be easily verified by mathematical software. Finally, a numerical example is carried out to demonstrate the validity of the theoretical results.
  • XUE Shengli, ZHANG Lijun, XIE Zhiqi, YAN Weijun, ZHANG Kuize
    系统科学与复杂性(英文版). 2023, 36(6): 2309-2324. https://doi.org/10.1007/s11424-023-2303-9
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    The cross-dimensional dynamical systems have received increasing research attention in recent years. This paper characterizes the structure features of the cross-dimensional vector space. Specifically, it is proved that the completion of cross-dimensional vector space is an infinite-dimensional separable Hilbert space. Hence, it means that one can isometrically and linearly embed the cross-dimensional vector space into the $\ell^{2}$, which is known as the space of square summable sequences. This result will be helpful in the modeling and analyzing the dynamics of cross-dimensional dynamical systems.
  • DUAN Suna, YU Zhiyong, JIANG Haijun, OUYANG Deqiang
    系统科学与复杂性(英文版). 2023, 36(6): 2325-2343. https://doi.org/10.1007/s11424-023-2337-z
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    This paper studies the cluster consensus of multi-agent systems (MASs) with objective optimization on directed and detail balanced networks, in which the global optimization objective function is a linear combination of local objective functions of all agents. Firstly, a directed and detail balanced network is constructed that depends on the weights of the global objective function, and two kinds of novel continuous-time optimization algorithms are proposed based on time-invariant and timevarying objective functions. Secondly, by using fixed-time stability theory and convex optimization theory, some sufficient conditions are obtained to ensure that all agents’ states reach cluster consensus within a fixed-time, and asymptotically converge to the optimal solution of the global objective function. Finally, two examples are presented to show the efficacy of the theoretical results.
  • YANG Jinzi, LI Yuanxin, TONG Shaocheng
    系统科学与复杂性(英文版). 2023, 36(6): 2344-2363. https://doi.org/10.1007/s11424-023-2167-z
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    The tracking problem of uncertain nonstrict-feedback nonlinear systems (UNFNS) is examined to develop a novel adaptive neural control scheme to ensure fixed-time convergence. In particular, the challenge associated with the unknown nonlinear function can be overcome through neural network (NN) based estimation. Therefore, an NN-based adaptive fixed-time control scheme is established with only one parameter, using the property of the basis function vector to address the algebraic loop problem. Furthermore, the singularity problem can be solved by incorporating a smooth switching function. A rigorous theoretical analysis is performed to demonstrate that the output signal can track the reference signal within a fixed time and that the signals in the control systems are bounded. Finally, numerical simulations are performed to validate the feasibility of the proposed methodology.
  • LIN Bo, LUO Shixian, JIANG Yan
    系统科学与复杂性(英文版). 2023, 36(6): 2364-2381. https://doi.org/10.1007/s11424-023-2281-y
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    This paper studies the output consensus problem of heterogeneous linear stochastic multiagent systems with multiplicative noises in system parameters and measurements, where the system noise in each agent is allowed to be different. By employing stochastic output regulation theory and the stochastic Lyapunov function approach, a composite controller embedded with stochastic output regulator equations (SOREs) and a stochastic dynamic compensator is designed to achieve the meansquare output consensus of the multi-agent systems. To implement the consensus algorithm, a sufficient condition for feasible solutions of the SOREs is first established in terms of Lyapunov and Selvester equations. Then the time-varying SOREs are approximated by the Euler-Maruyama method combined with an a-posteriori partial estimation of the increments of the Brownian motion. A numerical example illustrates the theoretical results.
  • LIU Ying, HU Jun, LI Yongming
    系统科学与复杂性(英文版). 2023, 36(6): 2382-2397. https://doi.org/10.1007/s11424-023-2387-2
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    This paper studies the formation control problem for the second-order heterogeneous nonlinear multi-agent systems (MASs) with switching topology and quantized control inputs. Compared with formation control under the fixed topology, under the switching topology inherent nonlinear dynamics of the agent and the connectivity change of the communication topology are considered. Moreover, to avoid the chattering phenomenon caused by unknown input disturbances, the hysteretic quantizers are incorporated to quantize the input signals. By using the Lyapunov stability theory and leader-follower formation approach, the proposed formation control scheme ensures that all signals of the MASs are semi-globally uniformly ultimately bounded (SGUUB). Finally, the efficiency of the theoretical results is proved by a simulation example.
  • YANG Cun, WU Zhaojing, FENG Likang
    系统科学与复杂性(英文版). 2023, 36(6): 2398-2414. https://doi.org/10.1007/s11424-023-2463-7
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    In this paper, a new stochastic analysis tool on semi-global stability is constructed, for nonlinear systems disturbed by stochastic processes with strongly bounded in probability. The definition of semi-global noise to state practical stability in probability and its Lyapunov criterion for random systems are presented. As a major application of stability, the semi-global practical tracking of random nonlinear systems based on dynamic surface control technique is considered. The trajectory tracking of manipulator robot driven by direct current motors is carried out in simulation to illustrate the effectiveness and feasibility of the control scheme.
  • SUN Wenjuan, GONG Hua, LIU Peng
    系统科学与复杂性(英文版). 2023, 36(6): 2415-2433. https://doi.org/10.1007/s11424-023-2491-3
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    A cooperative game theoretical approach is taken to production and transportation coordinated scheduling problems of two-machine flow-shop (TFS-PTCS problems) with an interstage transporter. The authors assume that there is an initial scheduling order for processing jobs on the machines. The cooperative sequencing game models associated with TFS-PTCS problems are established with jobs as players and the maximal cost savings of a coalition as its value. The properties of cooperative games under two different types of admissible rearrangements are analysed. For TFS-PTCS problems with identical processing time, it is proved that, the corresponding games are σ0-component additive and convex under one admissible rearrangement. The Shapley value gives a core allocation, and is provided in a computable form. Under the other admissible rearrangement, the games neither need to be σ0-component additive nor convex, and an allocation rule of modified Shapley value is designed. The properties of the cooperative games are analysed by a counterexample for general problems.
  • GOSZTONYI Márton
    系统科学与复杂性(英文版). 2023, 36(6): 2434-2466. https://doi.org/10.1007/s11424-023-1472-x
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    In this paper, a theoretical model is developed on the basis of systems theory, which structures the livelihood system of low-income households in a European country characterized by a semi-peripheral economy. Based on the proposed model, the complex system of network connections and formal and informal financial transactions, which households use in their daily lives to cover their expenses, becomes graspable. The proposed theoretical model is analyzed through simulations based on agent-based modelling (ABM) centred on empirical network data. Through the simulations, the author explores the mechanisms of the market and asks what formal and informal credit transactions determine its operation, how these factors shape the local social structure and how resilient the market is to crises. The results show that this dynamic, complex risk-sharing system has an inherent logic and it can mitigate the small liquidity shocks but it is not resistant to bigger financial shocks or overconsumptions.
  • ZHANG Yu, GAO Xiang, XU Ran, YANG Cuihong
    系统科学与复杂性(英文版). 2023, 36(6): 2467-2496. https://doi.org/10.1007/s11424-023-1380-0
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    This paper adopts the DID approach to investigate the trade destruction effects and trade deflection effects of the US additional tariffs. The authors find that the US additional tariffs significantly reduce China’s exports of tariffed products to the US (i.e., trade destruction effect), especially intermediate and labor-intensive products. On the other hand, they significantly increase China’s exports of tariffed products to the third market (i.e., trade deflection effect). For the $50 billion list, both the trade destruction effect and trade deflection effect are concentrated on processing exports, and the US additional tariffs significantly increase China’s exports of tariffed products to ASEAN, Japan and Australia. For the $200 billion list, the US additional tariffs boost China’s exports of chemicals, textiles, wood, metal products, furniture and other products to the EU, Australia, Japan, South Africa and Hong Kong, China. Furthermore, most trade deflections are not realized by lowering export prices, indicating that the trade deflections could compensate for the profit losses caused by the US additional tariffs to a certain extent. The proposed results suggest that searching for substitutions of export markets and a more open trade policy is an important way to avoid profit losses and reduce risks for enterprises and economies suffering from trade frictions.
  • ZHU Dandan, ZHANG Chen, PAN Di
    系统科学与复杂性(英文版). 2023, 36(6): 2497-2514. https://doi.org/10.1007/s11424-023-1471-y
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    Influenced by the global economy, politics, energy and other factors, the price of carbon market fluctuates sharply. It is of great practical significance to explore a suitable measurement method of extreme risk of carbon market. Considering that the return series of carbon market has the characteristics of leptokurtosis, fat tail, skewness and multifractal, and there maybe many extreme risk values in the carbon market, this paper introduces the Skewed-$t$ distribution which can describe the characteristics of leptokurtosis, fat tail and skewness of return series into MSM model which can describe multifractal characteristic of return series to model volatility of carbon market. On the basis, based on the extreme value theory, this paper constructs Skewed-$t$-MSM-EVT model to measure extreme risk of carbon market. This paper chooses EUA market as the object to study extreme risk of carbon market, and draws the following conclusions: Skewed-$t$-MSM-EVT model has significantly higher prediction accuracy for carbon market's VaR than MSM-EVT models under other distributions (including normal distribution, $t$ distribution, GED distribution); Skewed-$t$-MSM-EVT model is superior to traditional Skewed-$t$-FIGARCH-EVT and Skewed-$t$-GARCH-EVT models in predicting carbon market's VaR. This research has important practical significance for accurately grasping the risk of carbon market and promoting energy conservation and emission reduction.
  • WU Xianping, WU Weiping, LIN Yu
    系统科学与复杂性(英文版). 2023, 36(6): 2515-2535. https://doi.org/10.1007/s11424-023-3019-6
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    This paper studies the multi-period mean-variance (MV) asset-liability portfolio management problem (MVAL), in which the portfolio is constructed by risky assets and liability. It is worth mentioning that the impact of general correlation is considered, i.e., the random returns of risky assets and the liability are not only statistically correlated to each other but also correlated to themselves in different time periods. Such a model with a general correlation structure extends the classical multiperiod MVAL models with assumption of independent returns. The authors derive the explicit portfolio policy and the MV efficient frontier for this problem. Moreover, a numerical example is presented to illustrate the efficiency of the proposed solution scheme.
  • JIANG Tao, GAO Li, CHAI Xudong, BU Qihui
    系统科学与复杂性(英文版). 2023, 36(6): 2536-2558. https://doi.org/10.1007/s11424-023-2117-9
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    The authors consider an M/M/1 queue with two types of customers, where customers are classified into two categories according to their psychological feelings when facing uncertainty about queue information. In the unobservable queue, experienced customers could accurately calculate their expected utilities, while first-time customers are loss-averse and the psychological feelings could incur additional gain-loss utilities. By defining customers’ willingness to pay, the authors derive the equilibrium joining-balking behaviors for each type of customer and obtain the service provider’s optimal pricing decision. The authors also classify the implications of the obtained results.
  • HAN Aihua, HUANG Jian, WANG Xin, ZHU Zhengyuan
    系统科学与复杂性(英文版). 2023, 36(6): 2559-2579. https://doi.org/10.1007/s11424-023-1383-x
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    Xinjiang’s agriculture is a typical irrigated agriculture for its agriculture water consumption accounts for 96% of the total water use. As a typical resource-deficient area, the key to Xinjiang’s agricultural development is saving water. This paper takes the high-efficient water-saving irrigation technology of 41 regions along the Tarim River from 2002 to 2013 as the research object, adopts spatial stochastic frontier model to measure the space efficiency of high-efficient water-saving irrigation technology, and analyzes the effect of water-saving irrigation technology on agricultural development. Results show that the water-saving irrigation technology has a spatial effect, if neglecting it, the error of missing variables will occur, and the average loss will be 6.98 percentage points. The spatial correlation effect promotes the improvement of the efficiency of water-saving irrigation technology. The spatial heterogeneity leads to the spatial imbalance of the efficiency of water-saving irrigation technology. The promotion of agricultural water-saving irrigation technology can increase production and the efficiency of agricultural development. Due to the technical heterogeneity of different types of water-saving irrigation technology, the contribution to the development of agriculture is also different. The study finds that water-saving irrigation technology of drip irrigation in the Tarim River contributes more to agricultural development.
  • DING Hao, JIN Baisuo, WU Yuehua
    系统科学与复杂性(英文版). 2023, 36(6): 2580-2604. https://doi.org/10.1007/s11424-023-2172-2
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    This paper proposes a robust two-stage estimation procedure for a general spatial dynamic panel data model in light of the two-stage estimation procedure in Jin, et al. (2020). The authors replace the least squares estimation in the first stage of Jin, et al. (2020) by M-estimation. The authors also provide the justification for not making any change in its second stage when the number of time periods is large enough. The proposed methodology is robust and efficient, and it can be easily implemented. In addition, the authors study the limiting behavior of the parameter estimators, which are shown to be consistent and asymptotic normally distributed under some conditions. Extensive simulation studies are carried out to assess the proposed procedure and a COVID-19 data example is conducted for illustration.
  • ZHANG Yuhao, LIU Yanhong, WANG Zhaojun
    系统科学与复杂性(英文版). 2023, 36(6): 2605-2623. https://doi.org/10.1007/s11424-023-2123-y
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    This paper focuses on the support recovery of the Gaussian graphical model (GGM) with false discovery rate (FDR) control. The graceful symmetrized data aggregation (SDA) technique which involves sample splitting, data screening and information pooling is exploited via a node-based way. A matrix of test statistics with symmetry property is constructed and a data-driven threshold is chosen to control the FDR for the support recovery of GGM. The proposed method is shown to control the FDR asymptotically under some mild conditions. Extensive simulation studies and a real-data example demonstrate that it yields a better FDR control while offering reasonable power in most cases.
  • LI Tizheng, CHENG Yaoyao
    系统科学与复杂性(英文版). 2023, 36(6): 2624-2660. https://doi.org/10.1007/s11424-023-2222-9
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    In many application fields of regression analysis, prior information about how explanatory variables affect response variable of interest is often available and can be formulated as constraints on regression coefficients. In this paper, the authors consider statistical inference of partially linear spatial autoregressive model under constraint conditions. By combining series approximation method, twostage least squares method and Lagrange multiplier method, the authors obtain constrained estimators of the parameters and function in the partially linear spatial autoregressive model and investigate their asymptotic properties. Furthermore, the authors propose a testing method to check whether the parameters in the parametric component of the partially linear spatial autoregressive model satisfy linear constraint conditions, and derive asymptotic distributions of the resulting test statistic under both null and alternative hypotheses. Simulation results show that the proposed constrained estimators have better finite sample performance than the unconstrained estimators and the proposed testing method performs well in finite samples. Furthermore, a real example is provided to illustrate the application of the proposed estimation and testing methods.
  • LI Haokun, XIA Bican, ZHAO Tianqi
    系统科学与复杂性(英文版). 2023, 36(6): 2661-2680. https://doi.org/10.1007/s11424-023-2260-3
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    Triangular decomposition with different properties has been used for various types of problem solving. In this paper, the concepts of pure chains and square-free pure triangular decomposition (SFPTD) of zero-dimensional polynomial systems are defined. Because of its good properties, SFPTD may be a key way to many problems related to zero-dimensional polynomial systems. Inspired by the work of Wang (2016) and of Dong and Mou (2019), the authors propose an algorithm for computing SFPTD based on Gröbner bases computation. The novelty of the algorithm is that the authors make use of saturated ideals and separant to ensure that the zero sets of any two pure chains are disjoint and every pure chain is square-free, respectively. On one hand, the authors prove the arithmetic complexity of the new algorithm can be single exponential in the square of the number of variables, which seems to be among the rare complexity analysis results for triangular-decomposition methods. On the other hand, the authors show experimentally that, on a large number of examples in the literature, the new algorithm is far more efficient than a popular triangular-decomposition method based on pseudodivision, and the methods based on SFPTD for real solution isolation and for computing radicals of zero-dimensional ideals are very efficient.
  • LI Zhengnan, WU Baofeng, LIN Dongdai
    系统科学与复杂性(英文版). 2023, 36(6): 2681-2702. https://doi.org/10.1007/s11424-023-1511-7
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    Motivated by applications in advanced cryptographic protocols, research on arithmetizationoriented symmetric primitives has been rising in the field of symmetric cryptography in recent years. In this paper, the authors focus on on the collision attacks for a family of arithmetization-oriented symmetric ciphers GMiMCHash. The authors firstly enhance the algebraically controlled differential attacks proposed by introducing more variables. Then, combining algebraic attacks and differential attacks, the authors propose algebraic-differential attacks on GMiMCHash. This attack method is shown to be effective by experiments on toy versions of GMiMCHash. The authors further introduce some tricks to reduce the complexities of algebraic-differential attacks and improve the success probability of finding collisions.
  • XIAO Shuijing, ZENG Guangxing
    系统科学与复杂性(英文版). 2023, 36(6): 2703-2724. https://doi.org/10.1007/s11424-023-2219-4
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    In this paper, the notion of rational univariate representations with variables is introduced. Consequently, the ideals, created by given rational univariate representations with variables, are defined. One merit of these created ideals is that some of their algebraic properties can be easily decided. With the aid of the theory of valuations, some related results are established. Based on these results, a new approach is presented for decomposing the radical of a polynomial ideal into an intersection of prime ideals.