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第三十届中国控制会议

作者： CHEN Weisheng~(1,2),SHAO Jingping~1 1.Department of Mathematics,Xidian Univerisy,Xi’an 710071,P.R.China 2.Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China,Xidian University,Xi’an, 710071,P.R.China

This paper addresses stochastic flnite-time stability based on vector Lyapunov *** sufficient conditions are given to verify the stochastic flnite-time stability of stochastic *** example is provided to demonstrate th... 详细信息

关键词： stochastic finite-time stability stochastic Systems Vector Lyapunov Function

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finite-time stabilization of nonlocal Lipschitzian stochastic time-varying nonlinear systems with Markovian switching

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Science China(Information Sciences) 2022年第11期65卷 196-216页

作者： Gui-Hua ZHAO Shu-Jun LIU College of Science University of Shanghai for Science and Technology College of Mathematics Sichuan University

In this study, we investigate the stochastic finite-time stability theory and finite-time stabilization of stochastic time-varying nonlinear systems with Markovian switching in the sense of weak solutions. First,we present the stochastic finite-time stability theory under the framework of weak solutions: the existence of weak solutions and stochastic finite-time stability theorems for stochastic time-varying nonlinear systems with Markovian switching. Second, for a class of high-order stochastic nonlinear systems with Markovian switching, a finite-time stabilization controller is constructively designed, and the trivial weak solution of a closed-loop system is proven to be globally finite-time stable in probability. The effectiveness of the proposed finite-time control method is illustrated by a numerical example.

关键词： stochastic time-varying nonlinear systems Markovian switching weak solutions stochastic finite-time stability finite-time control

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finite-time stabilization of stochastic nonlinear systems with FT-SiISS inverse dynamics

Finite-time stabilization of stochastic nonlinear systems wi...

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第43届中国控制会议

作者： Rong-Heng Cui Xue-Jun Xie Institute of Automation Qufu Normal University

The problem of finite-time stabilization for a class of stochastic nonlinear systems with finite-time stochastic integral input-to-state stability(FT-SiISS) inverse dynamics is studied. By introducing the manipulation of sign functions and revamping by adding a power integrator technique, a novel approach is proposed to construct a continuous stabiliser, which can guarantee that all the closed-loop signals are bounded almost surely and the trivial solution of the closed-loop system is finite-time stable in probability.

关键词： finite-time stochastic integral input-to-state stability(FT-SiISS) FT-SiISS small-gain conditions stochastic finite-time stability

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