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This paper is focused on the problem of H∞ control for linear systems with interval time-varying delay. A delay decomposition approach is employed to establish a new delay-dependent bounded real lemma (BRL) such that the system under study is asymptotically stable with a prescribed H∞ disturbance attenuation level. This BRL is then used to solve the desired H∞ controller by incorporating with the...
This paper is concerned with the problem of Hinfin filtering for a class of linear systems with Markovian jump parameters and mode-dependent time-varying delays. The Lyapunov-Krasovskii method is used to derive a new delay-dependent Bounded Real Lemma (BRL) incorporating with an integral inequality, which guarantees that the filtering error system is not only exponentially stable in the mean square...
This paper is concerned with the delay-dependent stability for linear systems with time delays. By decomposing the delay interval into three equidistance subintervals, on which different Lyapunov functionals are defined, a new Lyapunov-Krasvskii functional is then constructed. With its help, a series of new delay dependent stability criteria are established for both constant and time-varying delays...
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