The Exponential Stability for a Class of Hybrid Systems. Issue 2 (1st August 2012)

• Record Type: Journal Article
• Authors: Lou, Zhi‐E; Gao, Yan
• Is Part Of: Asian journal of control. Volume 15:Issue 2(2013:Mar.)
• Page Start: 624
• Page End: 629
• Publication Date: 2012-08-01
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.584
• Languages: English
• ISSNs: 1561-8625

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>The exponential stability with a nonsmooth Lyapunov function for a class of hybrid systems is studied in this paper. First, a sufficient condition is derived that has to be satisfied by the feedback control for the hybrid systems. Then, for the special case where the Lyapunov function involved is a kind of nonsmooth function, the maximum of finitely many smooth functions (for short, max‐type function), the stability of a hybrid system is considered, and a convenient criterion to determine the stability of the system is established. Finally, a numerical method of determining the control input value is developed.</p> </abstract>