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Stochastic stability of a class of nonlinear systems with randomly varying time-delay

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2 Author(s)
I. Kolmanovsky ; Ford Res. Lab., Dearborn, MI, USA ; T. L. Maizenberg

This article studies the mean square stochastic stability of a class of continuous time nonlinear systems with a time-varying, random delay. The criteria for stability of systems of this kind are important for industrial embedded control applications. The evolution of the delay is modelled by a continuous-time Markov process with a finite number of states. The global asymptotic mean-square stochastic stability conditions are given in terms of transition probabilities of the Markov process and stability properties of the system with a constant delay

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American Control Conference, 2000. Proceedings of the 2000  (Volume:6 )

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