Finite-time output-feedback stabilization for a class of switched stochastic planar systems with asymmetric time-varying output constraints

被引：0

作者：

Hui Wang ^{[1
]}

Yijia Li ^{[2
]}

Quanxin Zhu ^{[1
]}

Feiqi Deng ^{[2
]}

机构：

[1] Nanjing University of Information Science and Technology,School of Mathematics and Statistics

[2] Hunan Normal University,Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics

[3] South China University of Technology,School of Automation Science and Engineering

来源：

Science China Information Sciences | 2025年 / 68卷 / 10期

关键词：

switched stochastic planar system; non-Lipschitzian nonlinearities; output constraints; stochastic finite-time stabilization; output feedback;

D O I：

10.1007/s11432-023-4286-4

中图分类号：

学科分类号：

摘要：

The study explores the finite-time stabilization of switched stochastic planar systems that face asymmetric time-varying output constraints. A key innovation in this research is the elimination of the local Lipschitz condition for switched stochastic nonlinear systems, prompting the development of new criteria for the existence of a global weak solution and stochastic finite-time stability. To tackle the challenges posed by asymmetric time-varying output constraints, we introduce a novel state-constrained transformation, which serves as an alternative to the traditional use of barrier Lyapunov functions. This transformation ensures that output constraints are not violated if the states of the transformed system remain almost surely bounded. We design radially unbounded Lyapunov functions for further investigation, which confirm the existence of a solution and finite-time stability for non-Lipschitzian stochastic systems. Finally, the effectiveness of the proposed continuous output-feedback control strategy is confirmed through simulation examples.

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