Robust state-feedback stabilization of jump linear systems via LMIs

被引：0

作者：

Ghaoui, Laurent El ^{[1
]}

Rami, Mustapha Ait ^{[1
]}

机构：

[1] Applied Mathematics Lab, Paris, France

来源：

| 1996年 / John Wiley & Sons Ltd, Chichester, United Kingdom卷 / 06期

关键词：

Boundary conditions - Control system analysis - Feedback control - Markov processes - Matrix algebra - Probability - Robustness (control systems) - System stability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a linear system subject to Markovian jumps, with a time-varying, unknown-but-bounded transition probability matrix. We derive LMI conditions ensuring various second-moment stability properties for the system. The approach is then used to generate mode-dependent state-feedback control laws which stabilize the system in the mean-square sense. When the transition probability matrix is constant and known, our conditions are necessary and sufficient.

引用

页码：9 / 10

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