This paper deals with the problem of stabilization for a class of networked control systems (NCSs) with random time delay via the state feedback control. Both sensor-to-controller and controller-to-actuator delays are modeled as Markov processes, and the resulting closed-loop system is modeled as a Markovian jump linear system (MJLS). Based on Lyapunov stability theorem combined with Razumikhin-based technique, a new delay-dependent stochastic stability criterion in terms of bilinear matrix inequalities (BMIs) for the system is derived. A state feedback controller that makes the closed-loop system stochastically stable is designed, which can be solved by the proposed algorithm. Simulations are included to demonstrate the theoretical result.

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networked control systems sensortocontroller and controllertoactuator delays bilinear matrix inequalities lyapunov stability theorem closedloop system delaydependent stochastic stability criterion markovian jump linear system markov processes stabilization state feedback controller random time delay razumikhinbased technique

Ye-Guo Sun,Qing-Zheng Gao,.Stability and Stabilization of Networked Control System with Forward and Backward Random Time Delays. 2012 (),.

Ye-Guo Sun,Qing-Zheng Gao,"Stability and Stabilization of Networked Control System with Forward and Backward Random Time Delays" 2012

Ye-Guo Sun,Qing-Zheng Gao,"Stability and Stabilization of Networked Control System with Forward and Backward Random Time Delays"