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This paper proposes a new generalized Lyapunov theorem and a new generalized bounded real lemma for continuous‐time linear descriptor systems. First, we provide a necessary and sufficient condition in terms of strict linear matrix inequalities (LMIs) for the admissibility of descriptor systems. Subsequently, we demonstrate that a descriptor system is L2‐gain stable if and only if two strict LMIs are...
This paper considers the output feedback stabilization problem of discrete-time networked control systems (NCSs) under a sequential multiple-packet transmission policy. The dynamics of the considered multiple-packet transmission networked control systems are modeled as switched control systems. Based on the multiple Lyapunov function approach, memorial periodic networked dynamic output feedback controllers...
This paper addresses the problem of designing robust static output-feedback controllers for nonlinear discrete-time interval systems with time delays both in states and in control input based on the Takagi-Sugeno fuzzy model. In the approach, we do not directly employ the Lyapunov approach, as do in most of traditional fuzzy control design approaches. Instead, sufficient conditions for guaranteeing...
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