Chapter 5: Delay-dependent dissipativity analysis and synthesis of singular delay systems
Abstract
The problem of delay-dependent dissipativity analysis and synthesis for singular delay system has been addressed in this chapter. Firstly, based on discrete Wirtinger-based inequality and improved reciprocally convex combination approach, the problem of dissipative control for discrete-time singular delay system is studied. Secondly, using the delay-partitioning technique, the state-feedback controller is designed. And the sufficient conditions of dissipativity synthesis for continuous-time singular system with time delay is constructed. Finally, by introducing some variables to decouple the Lyapunov matrices and the filtering error system matrices, ...
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