混杂系统稳定性条件扩展及等价分析

分析混杂系统的稳定性,将经典Lyapunov稳定性理论进行了扩展,给出了一类切换混杂系统的稳定性判据.基于此稳定性判据给出了特定形式的Lyapunov函数,并把系统稳定性问题等价转化为了线性矩阵不等式的求解问题,为准确判断混杂动态系统的稳定性提供了依据.通过仿真实例验证了结论的正确性以及分析方法的有效性.

Equivalent Analysis of Stability Condition Extension for Hybrid Systems

Stability analysis of hybrid systems is a hot issue,in which the main focus of the study focuses on how to extend the traditional Lyapunov stability theory into the hybrid system.In these years,the stability results of the hybrid system are most based on the expansion of the classical Lyapunov theory,the applications almost in the specific hybrid systems models.For example,it requires all subsystems with the same balance points.A brief overview of the original Lyapunov stability theory is presented,and the theory is extended.A class of switched hybrid system stability conditions is gives with a specific form of Lyapunov function based on these stability conditions which is then turned into equivalent linear matrix inequalities problems.Through an example simulation,the result shows the correctness of the conclusion and the effectiveness of this method.