论文标题
一类不连续的离散时间系统的稳定性分析
Stability Analysis of a Class of Discontinuous Discrete-Time Systems
论文作者
论文摘要
本文研究了一类不连续离散时间系统的稳定性分析。研究的系统被建模为线性系统和设定值的非线性的反馈互连。基于约束优化问题的等效表示，提出了通过线性和二次约束的集合来表示设置值的非线性。依靠此描述以及使用通用的二次设置值lyapunov函数，以线性矩阵不等式的形式进行了足够的条件，以实现全局指数稳定性。数值示例证实了理论发现。
The stability analysis of a class of discontinuous discrete-time systems is studied in this paper. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. An equivalent representation, based on a constrained optimization problem, is proposed to represent the set-valued nonlinearity via a collection of linear and quadratic constraints. Relying on this description and on the use of a generalized quadratic set-valued Lyapunov functions, sufficient conditions in the form of linear matrix inequalities for global exponential stability are obtained. Numerical examples corroborate the theoretical findings.
