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This paper is concerned with the problem of dissipative controller design for neutral systems with semi‐Markovian jumping parameters and norm‐bounded parameter uncertainties. First, a new stability criterion is obtained by applying a more accurate integral inequality and a delay‐partitioning approach, which is less conservative than those existing results. Second, based on the stability criterion,...
The problem of H∞ control for polytopic uncertain system with mixed delays is considered. Firstly, a new condition for the asymptotic stability of this system is deduced by employing a relaxed Lyapunov-Krasovskii functional and an accurate integral inequality. Secondly, by solving a set of linear matrix inequalities, a sufficient condition for the existence of a H∞ controller is adressed. Finally,...
This paper considers the problem of extended dissipative filter for discrete-time uncertain systems with time-varying delay. The uncertainty is assumed to be time-invariant belongs to a ploytope. Based on delay-partitioning approach and parameter-dependent Lyapunov-Krasovskii functional, a sufficient condition for the stability and performance analysis of the filtering error system is proposed. A...
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