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Hybrid stochastic control strategy by two-layer networks for dissipating urban traffic congestion

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Science China(Information Sciences) 2024年第4期67卷 40-41页

作者： Xiaojing ZHONG Bin PANG feiqi deng Xueyan ZHAO School of Mechanical and Electrical Engineering Guangzhou University School of Automation Science and Engineering South China University of Technology

With the rapid development of mobile devices and geographic information systems, social network data have become part of the traffic condition dissemination system,thereby influencing traffic conditions. Current research has indicated that the dissemination of traffic congestion information can partially alleviate congestion problems and thus enhance road transportation efficiency [1].

关键词： Traffic congestion

Input-to-state stability analysis of stochastic delayed switching systems

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Science China(Information Sciences) 2023年第11期66卷 204-221页

作者： Peilin YU feiqi deng Xueyan ZHAO Yuanyuan SUN School of Automation Science and Engineering South China University of Technology

In this paper, the issues regarding the input-to-state stability(ISS) and integral input-to-state stability(iISS) of the stochastic delayed switching systems with Lévy noise and input control(SDSS-LN-IC)are proposed by employing the comparison theorem approach, mode-dependent average dwell time(MDADT)method, delay integral inequality(DII), and Lyapunov-Razumikhin(L-R) technique. Two switching situations, namely, synchronous switching and asynchronous switching, are considered. Applying integral inequalities, sufficient stability conditions in both cases are given. Moreover, the sequences of this paper allow for the coefficients for the upper-bound expectation estimation of the infinitesimal operator to be mode-dependent,regardless of the sign and time-varying function rather than a constant, as is the case in certain existing results, which manifests the condition of the Lyapunov-Razumikhin technique in this paper is looser and less conservative. Finally, the validity and correctness of the theoretical results are verified by two examples and some simulations.

关键词： input-to-state stability synchronous switching asynchronous switching Lyapunov-Razumikhin technique mode-dependent average dwell time comparison theorem approach

Practical tracking of MIMO uncertain stochastic systems driven by colored noises via active disturbance rejection control

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Science China(Information Sciences) 2022年第6期65卷 203-217页

作者： Chunwan LV Zhengyong OUYANG Zehao WU feiqi deng Mingqing XIAO School of Mathematics and Big Data Foshan University Systems Engineering Institute South China University of Technology Department of Mathematics Southern Illinois University

This study addresses the practical tracking problem for a class of multi-input multi-output(MIMO) uncertain stochastic systems driven by colored noises via the active disturbance rejection control approach. The extended state observer is designed to estimate in real time the unmeasurable states and the stochastic total disturbance of each subsystem, including unknown coupling system dynamics between subsystems, colored noises, and uncertainty caused by partly unknown control parameters. Active disturbance rejection controllers based on the timely estimation of the extended state observer and compensation are then designed, guaranteeing the mean square practical convergence of the tracking errors. Some numerical simulations are performed to validate the effectiveness of the proposed control strategy.

关键词： uncertain stochastic systems active disturbance rejection control extended state observer tracking colored noise

Resilient dynamic event-triggered and self-triggered control for Markov jump systems under denial-of-service attacks

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Science China(Information Sciences) 2022年第9期65卷 303-304页

作者： Pengyu ZENG feiqi deng Xiaohua LIU Hongyang ZHANG School of Automation Science and Engineering South China University of Technology

Dear editor,As a kind of hybrid systems, Markov jump systems have made remarkable progress by the researchers from the various fields in the past few decades [1]. Unlike switched systems with a definite jump signal [2], a random signal adjusts the working sequence of subsystems in Markov jump systems. Meanwhile, for networks with limited bandwidth and energy, the time-triggering scheme accelerates resource consumption. One of the effective ways of tackling this problem is to adopt event-triggering scheme (ETS)[3, 4].

关键词： Markov jump systems dynamic event-triggering scheme (ETS) self-triggering scheme (STS) denial-of-service (DoS) attacks resilient control

Observer-based event-triggered asynchronous control of networked Markovian jump systems under deception attacks

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Science China(Information Sciences) 2023年第5期66卷 295-296页

作者： Xiaobin GAO feiqi deng Hongyang ZHANG Pengyu ZENG School of Automation Science and Engineering South China University of Technology

Dear editor,Markovian jump systems (MJSs) have been investigated for decades [1, 2]. Most existing results on MJSs assume that the mode switching of the controller/filter is synchronized with the operational system. However, due to time delays, packet dropouts, etc., controller/filter may work asynchronously [3]. In addition, when MJS control components are connected via communication networks,

关键词： Closed loop systems

Asymptotic and stable properties of general stochastic functional differential equations

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Journal of Systems Engineering and Electronics 2014年第1期25卷 138-143页

作者： Xiaojing Zhong feiqi deng College of Automation Science and Engineering South China University of Technology

The asymptotic and stable properties of general stochastic functional differential equations are investigated by the multiple Lyapunov function method, which admits non-negative up-per bounds for the stochastic derivatives of the Lyapunov functions, a theorem for asymptotic properties of the LaSal e-type described by limit sets of the solutions of the equations is obtained. Based on the asymptotic properties to the limit set, a theorem of asymptotic stability of the stochastic functional differential equations is also established, which enables us to construct the Lyapunov functions more easily in application. Particularly, the wel-known classical theorem on stochastic stability is a special case of our result, the operator LV is not required to be negative which is more general to fulfil and the stochastic perturbation plays an important role in it. These show clearly the improvement of the traditional method to find the Lyapunov functions. A numerical simulation example is given to il ustrate the usage of the method.

关键词： stochastic functional differential equations Lyapunov functions LaSalle asymptotic properties stability semi-martingale convergence theorem.

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Stability of stochastic switched epidemic systems with discrete or distributed time delay

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Journal of Systems Engineering and Electronics 2014年第4期25卷 660-670页

作者： Xiaoying Meng feiqi deng Institute of Systems Engineering South China University of Technology School of Statistics and Mathematics Zhongnan University of Economics and Law

Stochastic switched epidemic systems with a discrete or distributed time delay are constructed and investigated. By the Lyapunov method and lto＇s differential rule, the existence and uniqueness of global positive solution of each system is proved. And stability conditions of the disease-free equilibrium of the systems are obtained. Numerical simulations are presented to illustrate the results.

关键词： stochastic switched epidemic system discrete timedelay distributed time delay stochastically stable Lyapunov functional.

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Delay-dependent dissipative filtering for nonlinear stochastic singular systems with time-varying delays

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Science China(Information Sciences) 2017年第12期60卷 93-110页

作者： Shuangyun XING feiqi deng Systems Engineering Institute South China University of Technology College of Science Shenyang Jianzhu University

This paper concentrates on studying the delay-dependent dissipative filtering problem for nonlinear stochastic singular systems with time-varying delays via a Takagi-Sugeno(T-S) fuzzy control approach. The T-S fuzzy model is employed to represent a nonlinear stochastic singular system with unknown or partially unknown membership functions. Firstly, based on an auxiliary vector function, by utilizing an integral inequality and the free-weighting-matrix approach, a delay-dependent sufficient condition is derived to enable the considered filtering error system with time-varying delays to be stochastically admissible and dissipative. Furthermore,on the basis of the derived condition, by using a new type of candidate Lyapunov-Krasovskii function, the solvability conditions of the dissipative filter are addressed, and the corresponding fuzzy filter parameters can be obtained by solving a set of linear matrix inequalities. And then, we deduce the solving method for the H∞filter. The delay-dependent sufficient conditions are proposed to guarantee the systems to be regular, impulsefree, stochastically stable and to achieve a prescribed performance index ?γ. Finally, some simulation examples are proposed to manifest the effectiveness and merits of the filter design methodology developed in the paper.

关键词： nonlinear stochastic singular systems dissipative filtering unknown membership functions stochastic admissibility time-varying delays

Basic theory and stability analysis for neutral stochastic functional differential equations with pure jumps

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Science China(Information Sciences) 2019年第1期62卷 119-133页

作者： Mengling LI feiqi deng Xuerong MAO Systems Engineering Institute South China University of Technology Department of Statistics and Modelling Science University of Strathclyde

This paper investigates the existence and uniqueness of solutions to neutral stochastic functional differential equations with pure jumps(NSFDEwPJs). The boundedness and almost sure exponential stability are also considered. In general, the classical existence and uniqueness theorem of solutions can be obtained under a local Lipschitz condition and linear growth condition. However, there are many equations that do not obey the linear growth condition. Therefore, our first aim is to establish new theorems where the linear growth condition is no longer required whereas the upper bound for the diffusion operator will play a leading role. Moreover, the pth moment boundedness and almost sure exponential stability are also obtained under some loose conditions. Finally, we present two examples to illustrate the effectiveness of our results.

关键词： neutral term stochastic functional differential equations pure jumps existence and uniqueness theorem stability analysis