Hybrid Control for Markovian Neutral Systems with Distributed Delays

Abstract:

This paper is concerned with the problem of hybrid control for a class of Markovian neutral systems with distributed delays. By using Lyapunov stability and free-weighting matrix methods, a novel delay-dependent stabilization condition for the Markovian neutral systems with distributed delays is constructed in terms of linear matrix inequalities (LMIs). When these linear matrix inequalitise are feasible, combining state feedback control with integral control, an explicit expression of the desired hybrid controller is designed. The given hybrid controller, based on the obtained criterion, guarantees the resulting closed-loop system asymptotically stable in the mean square sense for all parameter uncertainties and time delays.

• Periodical: Applied Mechanics and Materials (Volume 724)
• Pages: 323-326
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.724.323
• Online since: January 2015
• Authors: Yi Zhong Wang*
• Keywords: Distributed Delays, Hybrid Control, Markov Chain, Neutral Systems

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