Stability and stabilization of switched linear time-invariant systems with saddle points and switching delays

作者：Zhu, Liying^*

来源：Information Sciences, 2016, 326: 146-159.

DOI：10.1016/j.ins.2015.07.042

• Switched systems
• Stability
• Stabilization
• Saddle points
• Switching delays
• Algorithms

This paper addresses global asymptotic stability (GAS) and stabilization issues of switched linear time-invariant (LTI) systems with saddle points and time-varying switching delays. Firstly, two criteria of GAS are proposed for such switched systems with all subsystems sharing a common unique saddle point under arbitrary periodic/quasi-periodic switching paths (PSP/QSP). Secondly, by using our stability results we design global asymptotic-stabilizing controls (GASC), periodic/quasi-periodic stabilizing switching paths (PSSP/QSSP), and an algorithm of GASC and PSSP/QSSP for the switched systems. Finally, we present a numerical example of a switching multi-agent system to illustrate the effectiveness and practicality of our new results.

• 出版日期2016-1-1
• 单位浙江师范大学