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GLOBAL INPUT-TO-STATE STABILIZATION WITH QUANTIZED FEEDBACK FOR DISCRETE-TIME PIECEWISE AFFINE SYSTEMS WITH TIME DELAYS

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Journal of Systems Science & Complexity 2013年第6期26卷 925-939页

作者： mu xiaowu GAO Yang Department of Mathematics Zhengzhou University Graduate School of Beijing University Department of Mathematics Daqing Normal University Graduate School of the Harbin Institute of Technology

In this paper, global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems （PWA） with time delays are considered. Both feedback with time delays and feedback without time delays are considered. Piecewise quadratic ISS-Lyapunov functions are adopted. Both Lyapunov-Razumikhin and Lyapunov-Krasovskii methods are adopted. The theorems for global input-to-state stabilization with quantized feedback of discrete PWA systems with time delays are

关键词： Discrete systems input-to-state stability piecewise affine systems quantized feedback stabilization.

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Stability analysis for semi-Markovian switched stochastic systems with asynchronously impulsive jumps

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Science China(Information Sciences) 2021年第1期64卷 162-174页

作者： xiaowu mu Zenghui HU School of Mathematics and Statistics Zhengzhou University

The almost surely(a.s.) exponential stability is studied for semi-Markovian switched stochastic systems with randomly impulsive jumps. We start from the case that switches and impulses occur synchronously, in which the impulsive switching signal is a semi-Markovian process. For the case that switches and impulses occur asynchronously, the impulsive arrival time sequence and the types of jump maps are driven by a renewal process and a Markov chain, respectively. By applying the multiple Lyapunov function approach, sufficient conditions of exponential stability a.s. are obtained based upon the ergodic property of semi-Markovian process. The validity of the proposed theoretical results is demonstrated by a numerical example.

关键词： stochastic systems multiple Lyapunov function almost surely exponential stability impulsive jumps semi-Markovian switching renewal process

STABILITY OF DISCONTINUOUS NONLINEAR SINGULAR SYSTEMS

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Journal of Systems Science & Complexity 2013年第4期26卷 527-533页

作者： WEI Jumei mu xiaowu School of Mathematics Zhengzhou University

This paper studies a class of nonlinear singular systems with discontinuous right-hand sides,it develops nonsmooth Lyapunov stability theory as well as LaSalle invariance *** this paper,LaSalle invariance principle of the discontinuous nonlinear singular systems is presented ***,some sufficient conditions for stability and asymptotic stability of the given systems based on Filippov differential inclusion and Clarke's generalized gradient are ***,these results are illustrated by the given example.

关键词： Discontinuous invariance principle nonlinear singular systems stability.

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STRICT LYAPUNOV FUNCTIONS FOR IMPULSIVE HYBRID TIME-VARYING SYSTEMS WITH DISCONTINUOUS RIGHT-HAND SIDE

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Journal of Systems Science & Complexity 2011年第2期24卷 261-270页

作者： xiaowu mu Fengjun TANG Department of Mathematics Zhengzhou University Zhengzhou Henan 450001 China.

In this paper, explicit closed form expressions of nonsmooth strict Lyapunov tunctlons for impulsive hybrid time-varying systems with discontinuous right-hand side is provided. Lyapunov functions are expressed in term... 详细信息

关键词： Filippov solution impulsive hybrid systems strict Lyapunov functions.

STABILIZATION FOR A CLASS OF LARGE-SCALE STOCHASTIC NONLINEAR SYSTEMS WITH DECENTRALIZED CONTROLLER DESIGN

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Journal of Systems Science & Complexity 2007年第1期20卷 127-134页

作者： xiaowu mu Haijun LIU Department of Mathematics Zhengzhou University Zhengzhou 450052 China

In this paper, a state feedback adaptive stabilization for a class of large-scale stochastic nonlinear systems is designed with Lyapunov and Backstepping method. In the systems there are uncertain terms, whose bounds are governed by a set of unknown parameters. The designed controllers would make the close-loop systems asymptotically stable and adaptive for the unknown parameters. As an application, a second order example is delivered to illustrate the approach.

关键词： Adaptive stabilization backstepping large-scale systems stochastic nonlinear systems

Novel dynamic event-triggered coordination for scaled consensus without continuous communication or controller update

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Science China(Information Sciences) 2022年第10期65卷 299-300页

作者： Xihui WU xiaowu mu School of Mathematics and Statistics Zhengzhou University

Dear editor,As a generalization of “identical consensus”, a new notion called “scaled consensus” was first introduced by Sandip [1]that allows each agent to reach a diverse final convergence value based on their individual ratios. To date, scaled consensus problems have attracted great attention for applications in compartmental mass-action systems,

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Nussbaum Function Based Control Design for A Class of Uncertain Stochastic High-order Nonlinear Systems 36

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Nussbaum Function Based Control Design for A Class of Uncert...

Adaptive finite-time H∞ control for singular Markov jump systems with mode-dependent delays

第36届中国控制会议

作者： ZHANG Jian mu xiaowu LIU Yungang School of Mathematics and Statistics Zhengzhou University School of Control Science and Engineering Shandong University

ISBN: (纸本)9781538629185

In this paper, the global adaptive stabilization is investigated for a class of uncertain stochastic high-order nonlinear systems in which there exist serious nonlinearities and unknowns. For details, on one hand, the considered systems allow the higher system nonlinearities（i.e. the power of the function） and include the strict-feedback systems as its special case. On the other hand, the unknown parameterized system nonlinear terms and the unknown control direction（i.e. the sign of the control gain） are both considered in the control design, without a doubt, those unknowns make the system appreciably general and practical. By skillfully combining the adaptive design method and Nussbaum function based design technique, a feasible adaptive stabilizing control scheme is successfully presented, by which the obtained controller can effectively guarantee that all the closed-loop system states are bounded almost surely, and especially the original system states converge to the origin with probability one.

关键词： Stochastic High-order Nonlinear Systems Unknown Control Direction Nussbaum Function Global Adaptive Stabilization

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Adaptive finite-time H∞ control for singular Markov jump sy...

Event-triggered Control for Stochastic Networked Control Systems under DoS Attacks

第40届中国控制会议

作者： Xin Li xiaowu mu School of Mathematics and Statistics Zhengzhou University

This paper investigates the adaptive finite-time H∞ control problem for singular Markov jump systems with modedependent delays. Firstly, different from the traditional mode-independent delays, the considered delay factors are modedependent time-varying delays. Additionally, the unknown nonlinearity which may caused by inevitable measurement errors, is considered in the system model. Then, the design scheme of adaptive controller is proposed in this paper. Furthermore, novel sufficient conditions are established to ensure the closed-loop system is regular, impulse-free and stochastically finite-time boundedness with prescribed H∞ performance. Finally, a numerical example is provided to verify the effectiveness of the proposed method.

关键词： Singular Markov jump systems Mode-dependent delays Finite-time stability Adaptive control H∞ control

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Event-triggered Control for Stochastic Networked Control Sys...