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第37届中国控制会议

作者： Ticao Jiao Wei Xing Zheng Guangdeng Zong College of Electrical and Electronic Engineering Shandong University of Technology School of Computing Engineering and MathematicsWestern Sydney University School of Engineering Qufu Normal University

This paper studies the exponential mean-square stability problem for a class of stochastic singular systems with Markov ***,we convert the original system into a differential-algebraic expression on the basis of singular value decomposition ***,some sufficient conditions for the exponential mean-square stability of the converted form are derived in terms of linear matrix inequalities,which in turn lead to the stability of the original system.

关键词： Stochastic singular systems Markov switching exponential mean-square stability

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stability ANALYSIS OF THE SPLIT-STEP THETA METHOD FOR NONLINEAR REGIME-SWITCHING JUMP SYSTEMS

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Journal of Computational Mathematics 2021年第2期39卷 192-206页

作者： Guangjie Li Qigui Yang School of Mathematics and Statistics Guangdong University of Foreign StudiesGuangzhou 510420China Department of Mathematics South China University of TechnologyGuangzhou 510640China

In this paper,we investigate the stability of the split-step theta(SST)method for a class of nonlinear regime-switching jump systems–neutral stochastic delay differential equations(NSDDEs)with Markov switching and *** we know,there are few results on the stability of numerical solutions for NSDDEs with Markov switching and *** purpose of this paper is to enrich conclusions in such *** first devotes to show that the trivial solution of the NSDDE with Markov switching and jumps is exponentially mean square stable and asymptotically mean square stable under some suitable *** the drift coefficient also satisfies the linear growth condition,it then proves that the SST method applied to the NSDDE with Markov switching and jumps shares the same conclusions with the exact ***,a numerical example is demonstrated to illustrate the obtained results.

关键词： exponential mean-square stability Neutral stochastic delay differential equa-tions Split-step theta method Markov switching and jumps.

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stability Analysis for a class of Stochastic Nonlinear Systems Based on The Approximate Discrete-Time Models

Stability Analysis for a class of Stochastic Nonlinear Syste...

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第三十九届中国控制会议

作者： Niankun Zhang Yu Kang Peilong Yu Department of Automation University of Science and Technology of China State Key Laboratory of Fire Science University of Science and Technology of China

In this paper, exponential mean-square stability for a class of stochastic nonlinear systems based on their approximate models is introduced. Firstly, the Euler-Maruyama（EM） approximate discrete-time model of this class of systems is ***, based on approximate discrete-time model of the given systems, we provide a simpler and more convenient controller design method to stabilize the closed-loop system. And then, the multi-step consistency between the exact discrete-time model and the EM approximate discrete-time model is established. Finally, the stability relationship between the original system and its EM approximate model based on their multi-step consistency is studied. Moreover, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

关键词： Euler-Maruyama approximate exponential mean-square stability Multi-Step consistency

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