Some stability tests for switched descriptor systems. (August 2019)

• Record Type: Journal Article
• Authors: Sajja, Shravan; Corless, Martin; Zeheb, Ezra; Shorten, Robert
• Is Part Of: Automatica. Volume 106(2019)
• Page Start: 257
• Page End: 265
• Publication Date: 2019-08
• Subjects: Switched systems -- Descriptor systems -- Lyapunov functions -- Global uniform exponential stability; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2019.05.004
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In this paper we first derive some general Lyapunov based stability conditions for switched linear descriptor systems and illustrate them with a simple mechanical system. Next we develop simple conditions for specific classes of systems. In particular, we consider the important case when switching between a standard system and an index one descriptor system, and systems where switching occurs between an index one and an index two descriptor system. Examples are given to illustrate these results.