Previous Articles Next Articles
HAO Yilin^{1}, HUANG Chengdai^{2}, CAO Jinde^{3}, LIU Heng^{1}
[1] He J H and Ji F Y, Twoscale mathematics and fractional calculus for thermodynamics, Thermal Science, 2019, 23(4): 2131–2133. [2] Tarasov V E, On history of mathematical economics: Application of fractional calculus, Mathematics, 2019, 7(6): 1–28. [3] Wang K L, Wang K J, and He C H, Physical insight of local fractional calculus and its application to fractional Kdv–Burgers–Kuramoto equation, Fractals, 2019, 27(7): 1950122. [4] Mo L and Guo S, Consensus of linear multiagent systems with persistent disturbances via distributed output feedback, Journal of Systems Science & Complexity, 2019, 32(3): 835–845. [5] Dinh C H, Mai V T, and Duong T H, New results on stability and stabilization of delayed Caputo fractional order systems with convex polytopic uncertainties, Journal of Systems Science & Complexity, 2020, 33(3): 563–583. [6] Ozarslan R, Ercan A, and Bas E, Novel fractional models compatible with real world problems, Fractal and Fractional, 2019, 3(2): 15. [7] D’Elia M, Du Q, Glusa C, et al., Numerical methods for nonlocal and fractional models, Acta Numerica, 2020, DOI: 10.1017/s096249292000001X. [8] Rajchakit G, Chanthorn P, Niezabitowski M, et al., Impulsive effects on stability and passivity analysis of memristorbased fractionalorder competitive neural networks, Neurocomputing, 2020, 417: 290–301. [9] Meng B, Wang X, Zhang Z, et al., Necessary and sufficient conditions for normalization and sliding mode control of singular fractionalorder systems with uncertainties, Science China Information Sciences, 2020, 63(5): 1–10. [10] Tolba M F, Saleh H, Mohammad B, et al., Enhanced FPGA realization of the fractionalorder derivative and application to a variableorder chaotic system, Nonlinear Dynamics, 2020, 33: 584–603. [11] Chanthorn P, Rajchakit G, Ramalingam S, et al., Robust dissipativity analysis of hopfieldtype complexvalued neural networks with timevarying delays and linear fractional uncertainties, Mathematics, 2020, 8(4): 595–616. [12] Rajchakit G, Kaewmesri P, Chanthorn P, et al., Global stability analysis of fractionalorder quaternionvalued bidirectional associative memory neural networks, Mathematics, 2020, 8(5): 801–827. [13] Podlubny I, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Elsevier, Amsterdam, 1998. [14] Veeresha P and Prakasha D G, Solution for fractional generalized Zakharov equations with MittagLeffler function, Results in Engineering, 2020, 5: 100085. [15] Anjum N and He J H, Laplace transform: Making the variational iteration method easier, Applied Mathematics Letters, 2019, 92: 134–138. [16] Wang H, Xiao M, Tao B, et al., Improving dynamics of integerorder smallworld network models under fractionalorder PD control, Science China Information Sciences, 2020, 63(1): 1–13. [17] Mesdoui F, Shawagfeh N, and Ouannas A, Global synchronization of fractionalorder and integerorder n component reaction diffusion systems: Application to biochemical models, Mathematical Methods in the Applied Sciences, 2021, 44(1): 1003–1012. [18] Haider S S and Rehman M U, Construction of fixed point operators for nonlinear difference equations of non integer order with impulses, Fractional Calculus and Applied Analysis, 2020, 23(3): 886–907. [19] Zhang Q H and Lu J G, Positive real lemmas for singular fractionalorder systems: The 0< α < 1 case, IET Control Theory & Applications, 2020, 14(18): 2805–2813. [20] Xu J, Jiang J, and O’Regan D, Positive solutions for a class of pLaplacian hadamard fractionalorder threepoint boundary value problems, Mathematics, 2020, 8(3): 1–13. [21] Asgharnia A, Jamali A, Shahnazi R, et al., Load mitigation of a class of 5MW wind turbine with RBF neural network based fractionalorder PID controller, ISA Transactions, 2020, 96: 272–286. [22] Marinangeli L, Alijani F, and HosseinNia S H, Fractionalorder positive position feedback compensator for active vibration control of a smart composite plate, Journal of Sound and Vibration, 2018, 412: 1–16. [23] Behinfaraz R, Ghaemi S, and Khanmohammadi S, Adaptive synchronization of new fractionalorder chaotic systems with fractional adaption laws based on risk analysis, Mathematical Methods in the Applied Sciences, 2019, 42(6): 1772–1785. [24] Liu J, Yin K, Yang D, et al., Stability analysis of switched positive systems with an impulse interval, Circuits, Systems, and Signal Processing, 2020, 40(2): 1005–1020. [25] Binid A, Elarbi Achhab M, and Laabissi M, Positive observers for linear positive systems in a Hilbert lattice space, IMA Journal of Mathematical Control and Information, 2021, 38(1): 143–158. [26] Yavuz M and Sene N, Stability analysis and numerical computation of the fractional predatorprey model with the harvesting rate, Fractal and Fractional, 2020, 4(3): 35. [27] Ji X, Lu J, Lou J, et al., A unified criterion for global exponential stability of quaternionvalued neural networks with hybrid impulses, International Journal of Robust and Nonlinear Control, 2020, 30(18): 8098–8116. [28] Wang G, Pei K, and Chen Y, Stability analysis of nonlinear hadamard fractional differential system, Journal of the Franklin Institute, 2019, 356(12): 6538–6546. [29] Khan H, GómezAguilar J, Khan A, et al., Stability analysis for fractional order advectionreaction diffusion system, Physica A: Statistical Mechanics and Its Applications, 2019, 521: 737– 751. [30] Ahmad M, Zada A, and Alzabut J, Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with pLaplacian, Advances in Difference Equations, 2019, 2019(1): 436. [31] Zeng H B, Liu X G, and Wang W, A generalized freematrixbased integral inequality for stability analysis of timevarying delay systems, Applied Mathematics and Computation, 2019, 354: 1–8. [32] Wang Z and Liu X, Exponential stability of impulsive complexvalued neural networks with time delay, Mathematics and Computers in Simulation, 2019, 156: 143–157. [33] Liu H, Pan Y, Cao J, et al., Positivity and stability analysis for fractionalorder delayed systems: A TS fuzzy model approach, IEEE Transactions on Fuzzy Systems, 2020, 29(4): 927–939. [34] Trinh H, Huong D C, and Nahavandi S, Observer design for positive fractionalorder interconnected timedelay systems, Transactions of the Institute of Measurement and Control, 2019, 41(2): 378–391. [35] Shen J and Lam J, Stability and performance analysis for positive fractionalorder systems with timevarying delays, IEEE Transactions on Automatic Control, 2015, 61(9): 2676–2681. [36] Liu H, Wang H, Cao J, et al., Composite learning adaptive sliding mode control of fractionalorder nonlinear systems with actuator faults, Journal of the Franklin Institute, 2019, 356(916): 9580–9599. [37] Bourafa S, Abdelouahab M, and Moussaoui A, On some extended RouthHurwitz conditions for fractionalorder autonomous systems of order α ∈ (0, 2) and their applications to some population dynamic models, Chaos, Solitons & Fractals, 2020, 133: 109623. [38] Li C and Deng W, Remarks on fractional derivatives, Applied Mathematics and Computation, 2007, 187(2): 777–784. [39] Le H V and Chu K T, Robust control of positive fractionalorder interconnected systems with heterogeneous delays, Asian Journal of Control, 2019, 21(1): 596–608. [40] Wu H and Su H, Positive edge consensus of networked systems with input saturation, ISA Transactions, 2020, 96: 210–217. [41] Iqbal Z, Ahmed N, Baleanu D, et al., Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission, Chaos, Solitons & Fractals, 2020, 134: 109706. [42] Kaczorek T, Fractional positive continuoustime linear systems and their reachability, International Journal of Applied Mathematics and Computer Science, 2008, 18(2): 223–228. [43] Liu Y and Su H, Some necessary and sufficient conditions for containment of secondorder multiagent systems with sampled position data, Neurocomputing, 2020, 378: 228–237. [44] Shahri E S A, Alfi A, and Machado J T, Lyapunov method for the stability analysis of uncertain fractionalorder systems under input saturation, Applied Mathematical Modelling, 2020, 81: 663– 672. [45] Li H, Cheng J, Li H B, et al., Stability analysis of a fractionalorder linear system described by the CaputoFabrizio derivative, Mathematics, 2019, 7(2): 200. [46] Chen L, Li T, Chen Y, et al., Robust passivity and feedback passification of a class of uncertain fractionalorder linear systems, International Journal of Systems Science, 2019, 50(6): 1149– 1162. [47] Berman A and Plemmons R J, Nonnegative Matrices in the Mathematical Sciences, SIAM, Philadelphia, USA, 1994, 9. [48] Tavazoei M S, On monotonic and nonmonotonic step responses in fractional order systems, IEEE Transactions on Circuits and Systems II: Express Briefs, 2011, 58(7): 447–451. 
[1]  IMEN Akrouti, NADHEM Echi. Global Practical Exponential Stabilization for OneSided Lipschitz Systems with Time Delay [J]. Journal of Systems Science and Complexity, 2022, 35(6): 20292045. 
[2]  ZHAO Lanhao, JI Zhijian, LIU Yungang, LIN Chong. Controllability of General Linear Discrete MultiAgent Systems with Directed and Weighted Signed Network [J]. Journal of Systems Science and Complexity, 2022, 35(6): 21072130. 
[3]  NING Pengju, HUA Changchun, MENG Rui. Adaptive Control for a Class of Nonlinear TimeDelay System Based on the Fully Actuated System Approaches [J]. Journal of Systems Science and Complexity, 2022, 35(2): 522534. 
[4]  MO Lipo, YU Yongguang, REN Guojian, YUAN Xiaolin. Constrained Consensus of ContinuousTime Heterogeneous MultiAgent Networks with Nonconvex Constraints and Delays [J]. Journal of Systems Science and Complexity, 2022, 35(1): 105122. 
[5]  QIAO Zhengyang, LIU Yicheng, WANG Xiao. MultiCluster Flocking Behavior Analysis for a Delayed CuckerSmale Model with ShortRange Communication Weight [J]. Journal of Systems Science and Complexity, 2022, 35(1): 137158. 
[6]  RIGATOS Gerasimos. A Nonlinear Optimal Control Approach for Tracked#br# Mobile Robots#br# [J]. Journal of Systems Science and Complexity, 2021, 34(4): 12791300. 
[7]  DINH Cong Huong,MAI Viet Thuan,DUONG Thi Hong. New Results on Stability and Stabilization of Delayed Caputo Fractional Order Systems with Convex Polytopic Uncertainties [J]. Journal of Systems Science and Complexity, 2020, 33(3): 563583. 
[8]  KERMANI Marwen,SAKLY Anis. On the Stability Analysis of Switched Nonlinear Systems with Time Varying Delay Under Arbitrary Switching [J]. Journal of Systems Science and Complexity, 2017, 30(2): 329346. 
[9]  YAN Yamin,HUANG Jie. Robust Output Regulation Problem for DiscreteTime Linear Systems with Both Input and Communication Delays [J]. Journal of Systems Science and Complexity, 2017, 30(1): 6885. 
[10]  GUO Jianxin, ZHANG Qiang, GAO XiaoShan, LI Hongbo. Time Optimal Feedrate Generation with Confined Tracking Error Based on Linear Programming [J]. Journal of Systems Science and Complexity, 2015, 28(1): 8095. 
[11]  YANG Renming , WANG Yuzhen. NEW DELAYDEPENDENT STABILITY CRITERIA AND ROBUST CONTROL OF NONLINEAR TIMEDELAY SYSTEMS [J]. Journal of Systems Science and Complexity, 2014, 27(5): 883898. 
[12]  CHAI Lin , QIAN Chunjiang. STATE FEEDBACK STABILIZATION FOR A CLASS OF NONLINEAR TIMEDELAY SYSTEMS VIA DYNAMIC LINEAR CONTROLLERS [J]. Journal of Systems Science and Complexity, 2014, 27(3): 453462. 
[13]  GAO Jing , ZHU Detong. AN AFFINE SCALING DERIVATIVEFREE TRUST REGION METHOD WITH INTERIOR BACKTRACKING TECHNIQUE FOR BOUNDEDCONSTRAINED NONLINEAR PROGRAMMING [J]. Journal of Systems Science and Complexity, 2014, 27(3): 537564. 
[14]  ZHAO Hongguo , CUI Peng. RISKSENSITIVE FIXEDPOINT SMOOTHING ESTIMATION FOR LINEAR DISCRETETIME SYSTEMS WITH MULTIPLE OUTPUT DELAYS [J]. Journal of Systems Science and Complexity, 2013, 26(2): 137150. 
[15]  ZHENG Min , XIAO Wei , CHEN Qinghai. IMPROVED STABILITY CRITERIA FOR UNCERTAIN LINEAR SYSTEMS WITH INTERVAL TIMEVARYING DELAY [J]. Journal of Systems Science and Complexity, 2013, 26(2): 175186. 
Viewed  
Full text 


Abstract 

