Quadratic stability results for switched singular descriptor linear systems
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CitationYin, Y., Stefanovski, J. D., Dimirovski, G. M., & Zhao, J. (2007). Quadratic stability results for switched singular descriptor linear systems. In 2007 European Control Conference (ECC) (pp. 696-701). Piscataway, NJ: IEEE.
This paper addresses the issue of quadratic stability for a class of switched singular descriptor linear systems. A system of this class is a switched system whose subsystems are all singular systems. The convex combination technique for the standard switched systems is extended to switched singular descriptor linear systems to derive a sufficient condition of quadratic stability. For a switched singular system with two subsystems, a necessary and sufficient condition of quadratic stability is obtained. A stabilizing switching law is also designed. Finally, an example is given to illustrate the validity of these new results.