Technical Communique: Switched controllers and their applications in bilinear systems

By Zhengguo Li, C. Wen, Y. C. Soh. 2001

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Nonlinear norm-observability notions and stability of switched systems (2005, result): “notion of invariance suitably adapted to deal with hybrid systems; see also [ 25 ] for a similar result.”
Controllability and reachability criteria for switched linear systems (2002, background): “gineering control applications including power systems and power electronics (Williams & Hoft 1991, Sira-Ramirez 1991), and switched systems have numerous applications in control of mechanical systems, air trac control, aircrafts and satellites and many other fields ( Li, Wen & Soh 2001 ).”
Uniform stability of switched linear systems: extensions of LaSalle's Invariance Principle (2004, result): “Related to this research are also the results in [10], where the authors present an invariance principle for discrete-time systems that can be used to design switching controllers.”