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In this study, the authors study the problems of sparse control and data transmission for network switched control systems. First, the networked control system is modelled as switched control systems. The new stability criterion and stabilisation criterion are presented based on a sparse control design methodology and the Lyapunov stability theory. Then, according to the structure of the systems,...
This paper investigates the problem of H∞ filtering for continuous-time Markovian jump linear systems with time-varying delay. The aim of this problem is to design an H∞ filter that ensures stochastic stability of the filtering error system and a prescribed L2-induced gain from the noise signals to the estimation error. For solving the problem, we transform the system under consideration into an interconnected...
This paper studies the problem of H∞ control for a class of Markov jump systems with mode-dependent time-varying delays. Using the idea of partitioning the lower delay bound, a novel Lyapunov-Krasovskii functional (LKF) is constructed. Then a new delay-dependent criterion on the stochastic stability is derived in the form of linear matrix inequality (LMI). Based on this, state feedback controllers,...
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