An extension of LaSalle's Invariance Principle for a class of switched linear systems

作者：Wang Jinhuan; Cheng Daizhan; Hu Xiaoming^*

来源：Systems & Control Letters, 2009, 58(10-11): 754-758.

DOI：10.1016/j.sysconle.2009.08.008

• LaSalle's Invariance Principle
• Switched linear systems
• Weak common quadratic Lyapunov function

In this paper LaSalle's Invariance Principle for switched linear systems is studied. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, in this paper the switching modes are allowed to be only Lyapunov stable. Under certain ergodicity assumptions, an extension of LaSalle's Invariance Principle for global asymptotic stability of switched linear systems is proposed provided that the kernels of derivatives of a common quadratic Lyapunov function with respect to the switching modes are disjoint (except the origin).

• 出版日期2009-11
• 单位河北工业大学; 中国科学院