一类切换非线性系统的分段多项式Lyapunov函数

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) Pub Date : 2003-12-09 DOI:10.1109/CDC.2003.1271820

D. Coutinho, A. Trofino

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引用次数: 4

摘要

本文提出了时变参数切换非线性系统区域稳定性分析的充分条件。用包含状态和辅助非线性向量的微分代数方程描述了非线性子模式。然后，我们使用分段多项式李雅普诺夫函数和松弛技术，从而根据线性矩阵不等式对问题进行凸表征。

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Piecewise polynomial Lyapunov functions for a class of switched nonlinear systems

This paper proposes sufficient conditions to the regional stability analysis of switched nonlinear systems with time-varying parameters. The nonlinear sub-modes of operation are described by means of differential-algebraic equations involving the state and an auxiliary nonlinear vector. We then use piecewise polynomial Lyapunov functions and a relaxation technique that lead to a convex characterization of the problem in terms of linear matrix inequalities.

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来源期刊

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)

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