Stability analysis for linear systems under State constraints

Haijun Fang; Zongli Lin

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Stability analysis for linear systems under State constraints

机译：状态约束下线性系统的稳定性分析

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This note revisits the problem of stability analysis for linear systems under state constraints. New and less conservative sufficient conditions are identified under which such systems are globally asymptotically stable. Based on these sufficient conditions, iterative linear matrix inequality (LMI) algorithms are proposed for testing global asymptotic stability of the system. In addition, these iterative LMI algorithms can be adapted for the design of globally stabilizing state feedback gains.

机译：本说明重新讨论了在状态约束下对线性系统进行稳定性分析的问题。确定了新的和较不保守的充分条件，在这些条件下此类系统在全局上是渐近稳定的。基于这些充分条件，提出了迭代线性矩阵不等式（LMI）算法来测试系统的全局渐近稳定性。另外，这些迭代的LMI算法可以适用于全局稳定状态反馈增益的设计。

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来源
《IEEE Transactions on Automatic Control》 |2004年第6期|p.950-955|共6页
作者
Haijun Fang; Zongli Lin;
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正文语种 eng
中图分类自动化系统;
关键词
asymptotic stability; iterative methods; linear matrix inequalities; linear systems; nonlinear control systems; state feedback; global asymptotic stability; iterative linear matrix inequality; linear systems; nonlinear systems; stability analysis; state constraints;

机译：渐近稳定性迭代方法线性矩阵不等式线性系统非线性控制系统状态反馈全局渐近稳定性迭代线性矩阵不等式线性系统非线性系统稳定性分析状态约束;

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Stability analysis for linear systems under State constraints

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