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This paper investigates the problem of delay-range-dependent robust H∞ exponential filter design for uncertain stochastic delayed systems with Markovian switching and nonlinear disturbances. The system under consideration involves Markovian jump parameters, parameter uncertainties, Ito-type stochastic disturbances, nonlinearities as well as time-varying delays, which vary in a range and dependent...
This paper is concerned with exponential stability of a class of single-tool cutting systems, which is described as a Markovian jump system with state time-varying delays. A sufficient condition for the exponential stability in mean-square is proposed based on the Lyapunov functional method. We also obtain the influence of delay parameters on exponential decreasing rate of the states. A numerical...
This paper is concerned with the stochastic stabilizability problem of time-delay Markovian jump bilinear systems with saturating actuators. Sufficient conditions for local exponential stochastic stability of the delay-free systems with memoryless state feedback control are given, and an upperbound of time delay is provided such that the delayed system retains its stochastic stabilizability if the...
In the past few years, hybrid stochastic retarded systems (also known as stochastic retarded systems with Markovian switching), including hybrid stochastic delay systems, have been intensively studied. Among the key results, Mao et al. proposed the Razumikhin-type theorem on exponential stability of stochastic functional differential equations with Markovian switching and its application to hybrid...
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