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Output feedback control for semi-Markovian jump systems with time-varying delay

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Journal of Control and Decision 2020年第3期7卷 215-240页

作者： Yuhong Liu Hui Li Qishui zhong shouming zhong School of Aeronautics and Astronautics University of Electronic Science and Technology of ChinaChengdu 611731China School of Mathematical Sciences University of Electronic Science and Technology of ChinaChengduChina Key Laboratory for Neuroinformation of Ministry of Education University of Electronic Science and Technology of ChinaChengduChina

This study investigates the problem of output feedback control for semi-Markovian jump systems(S-MJLSs)with time-varying *** to the relaxed conditions on the stochastic process,the S-MJLSs are with time-varying transition rates and can describe a broader class of dynamical systems than the traditional Markovian jump linear ***,first,by using a novel free-matrix-based integral inequality(FMBII)including well-known integral inequalities as special cases,the H∞performance analysis and mode-dependent nonrational synthesis conditions for the underlying S-MJLSs are developed,***,the conditions obtained in this paper are formulated in terms of linear matrix inequalities(LMIs),which can be efficiently solved via standard numerical ***,numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.

关键词： Semi-Markovian jump systems output-feedback control time-varying

Extinction and persistence of a nonautonomous stochastic food-chain system with impulsive perturbations

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International Journal of Biomathematics 2016年第5期9卷 217-242页

作者： Baodan Tian shouming zhong Zhijun Liu ＊Institute of Modeling and Algorithm School of Science Southwest University of Science and Technology Mianyang 621010 P. R. China School of Mathematical Sciences University of Electronic Science and Technology of China Chengdu 611731 P. R. China School of Science Hubei University for Nationalities Enshi 445000 P. R. China

In this paper, a nonautonomous stochastic food-chain system with functional response and impulsive perturbations is studied. By using Ito＇s formula, exponential martingale inequality, differential inequality and other mathematical skills, some sufficient conditions for the extinction, nonpersistence in the mean, persistence in the mean, and stochastic permanence of the system are established. Furthermore, some asymptotic properties of the solutions are also investigated. Finally, a series of numerical examples are presented to support the theoretical results, and effects of different intensities of white noises perturbations and impulsive effects are discussed by the simu｜ations.

关键词： Food-chain system functional response stochastic perturbations impulsive effects extinction stochastic permanence.

Robust mode-dependent control for discrete-time singular Markovian jump systems with time-varying delay

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Journal of Control and Decision 2018年第3期5卷 241-264页

作者： Yuhong Liu Hui Li Qishui zhong shouming zhong School of Aeronautics and Astronautics University of Electronic Science and Technology of ChinaChengduChina School of Mathematical Sciences University of Electronic Science and Technology of ChinaChengduChina Key Laboratory for Neuroinformation of Ministry of Education University of Electronic Science and Technology of ChinaChengduChina

This study investigates the problem of robust mode-dependent control for a class of discrete-time singular Markovian jump systems with time-varying *** the Lyapunov functional method and delay decomposition approach,Linear matrix inequality(LMI)-based sufficient conditions for the stochastic stability and robust modedependent control are developed,which guarantee the considered systems to be regular,causal and stochastically ***,numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.

关键词： Robust mode-dependent control time-varying singular Markovian jump systems

Global stability of a stochastic predator-prey model with Allee effect

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International Journal of Biomathematics 2015年第4期8卷 37-51页

作者： Baodan Tian Liu Yang shouming zhong School of Mathematics ScienceUniversity of Electronic Science and Technology of China Chengdu 611731 P. R. China tylazx@126. com

In this paper, we study a stochastic predator-prey model with Beddington-DeAngelis functional response and Allee effect, and show that there is a unique global positive solution to the system with the positive initial value. Sufficient conditions for global asymptotic stability are established. Some simulation figures are introduced to support the analytical findings.

关键词： Predator prey model stochastic perturbation Allee effect It5 formula sta-bility.

Novel Criteria on Finite-Time Stability of Impulsive Stochastic Nonlinear Systems

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IEEE/CAA Journal of Automatica Sinica 2023年第7期10卷 1634-1636页

作者： Lanfeng Hua Hong Zhu shouming zhong Kaibo Shi Jinde Cao School of Automation Engineering University of Electronic Science and Technology of ChinaChengdu 611731China School of Mathematics Sciences University of Electronic Science and Technology of ChinaChengdu 611731China School of Electronic Information and Electrical Engineering Chengdu UniversityChengdu 610106China School of Mathematics Southeast UniversityNanjing 210096Chinaand also with the Yonsei Frontier LaboraryYonsei UniversitySeoul 03722Korea

Dear Editor,This letter considers the finite-time stability(FTS)problem of generalized impulsive stochastic nonlinear systems(ISNS).By employing the stochastic Lyapunov and impulsive control approach,some novel criteria on FTS are presented,where both situations of stabilizing and destabilizing impulses are ***,new impulse-dependent estimation strategies of stochastic settling time(SST)are proposed.

关键词： stochastic stabilizing impulsive

Robust stability for uncertain neutral systems with mixed time-varying delays

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控制理论与应用（英文版） 2009年第2期7卷 192-196页

作者： Jinzhong CUI Jiuwen CAO shouming zhong Yuanyuan HU College of Computer Science and Engineering University of Electronic Science and Technology of China Chengdu Sichuan 610054 China College of Applied Mathematics University of Electronic Science and Technology of China Chengdu Sichuan 610054 China

The robust stability of uncertain neutral systems with mixed time-varying delays is investigated in this paper. The uncertainties under consideration are norm-bounded and time-varying. Based on the Lyapunov stability theory, a delay-dependent stability criterion is derived and given in the form of a linear matrix inequality （LMI）. Finally, a numerical example is given to illustrate significant improvement over some existing results.

关键词： Robust stability Neutral systems Lyapunov-Krasovskii functionals LMI control tool-box

Sliding Mode Control for Recurrent Neural Networks With Time-Varying Delays and Impulsive Effects

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IEEE/CAA Journal of Automatica Sinica 2023年第5期10卷 1319-1321页

作者： Lanfeng Hua Kaibo Shi Zheng-Guang Wu Soohee Han shouming zhong the School of Automation Engineering University of Electronic Science and Technology of ChinaChengdu 611731China the School of Electronic Information and Electrical Engineering Chengdu UniversityChengdu 610106China the Institute of Cyber-Systems and Control Zhejiang UniversityHangzhou 310027China the Department of Electrical Engineering and Convergence IT Engineering Pohang University of Science and TechnologyPohang 37673South Korea the School of Mathematics Sciences University of Electronic Science and Technology of ChinaChengdu 611731China

Dear Editor,This letter studies the problem of sliding mode control(SMC)design for recurrent neural networks(RNNs)with impulsive disturbances and time-varying transmission *** this end,an appropriate integral sliding ... 详细信息

关键词： impulsive letter delays

A descriptor system approach to robust stabilityof uncertain degenerate systems with discreteand distribute delays

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控制理论与应用（英文版） 2007年第4期5卷 357-364页

作者： Jiuwen CAO shouming zhong Yuanyuan HU College of Applied Mathematics University of Electronic Science and Technology of China Chengdu Sichuan 610054 China

The robust stability of uncertain linear degenerate systems with discrete and distributed delays is studied in this paper. The uncertainties under consideration are norm bounded, and possibly time varying. A novel robust stability criterion of the system is derived by constructing Lyapunov functions. The degenerate systems are transformed to a descriptor system and the stability criteria are formulated in the form of a linear matrix inequality （LMI）. Therefore, it is easy to check the robust stability of the degenerate systems by using this method. Numerical examples are also worked out to illustrate the obtained results.

关键词： Degenerate system Discrete delay Distributed delay Linear matrix inequality (LMI)

Improved stochastic synchronization criterion of delayed Markovian coupled neural networks with random coupling strengths and partial information on transition probabilities

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Improved stochastic synchronization criterion of delayed Mar...