Delay Range-Dependent Stability Analysis for Markovian Jumping Stochastic Systems with Nonlinear Perturbations |
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Authors: | R Jeetendra |
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Institution: | Department of Mathematics , KSR College of Engineering , Tiruchengode, Namakkal (Dt) , Tamil Nadu , India |
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Abstract: | This article addresses the problem of delay-dependent stability for Markovian jumping stochastic systems with interval time-varying delays and nonlinear perturbations. The delay is assumed to be time-varying and belongs to a given interval. By resorting to Lyapunov–Krasovskii functionals and stochastic stability theory, a new delay interval-dependent stability criterion for the system is obtained. It is shown that the addressed problem can be solved if a set of linear matrix inequalities (LMIs) are feasible. Finally, a numerical example is employed to illustrate the effectiveness and less conservativeness of the developed techniques. |
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Keywords: | Delay/interval-dependent stability Interval time-varying delays Linear matrix inequality Lyapunov–Krasovskii functional Markovian jumping parameters Stochastic systems |
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