Stabilization of LTI Switched Systems with Input Time Delay

—This paper deals with stabilization of LTI switched systems with input time delay. A description of systems’ stabilization is presented. Common Lyapunov function is introduced to construct switching law in order to stabilize this kind of system. Necessary and sufficient conditions are presented for both asynchronous switching and synchronous one. Precisely, after a proper change in state space the conditions can be expressed in terms of matrix inequalities. At the same time, definitions, theorems and corollaries as well as simulation result of one example are presented.

• Type: Journal
• Year: 2007
• Where: ENGL
• Authors: Lin Lin
• Keywords: Common Lyapunov Function, ENGL 2007, Input Time Delay, Sufficient Conditions