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This note investigates the stabilization problem for a class of linear uncertain networked control systems with random communication time delays. Both sensor-to-controller and controller-to-actuator random network-induced delays are considered. Markov processes are used to model these random-network-induced delays. Based on the Lyapunov Razumikhin method a mode-dependent state feedback controller is proposed to stabilize this class of systems. The existence of such a controller is given in terms of the solvability of bilinear matrix inequalities, which are to be solved by a newly proposed algorithm. A numerical example is used to illustrate the validity of the design methodology. Index Terms--Continuous-time systems, Markov jump systems, networked control systems, network-induced delays.

In this note, the problem of stochastic stability for linear systems with jump parameters being semi-Markovian rather than full Markovian is further investigated. In particular, the system under consideration is described by Ito type nonlinear stochastic differential equations with phase type semi-Markovian jump parameters. Stochastic stability conditions are presented. Index Terms--Ito stochastic differential equations, semi-Markovian jump parameters, stochastic stability.

This paper investigates the problem of robust [H.sub.[infinity]]-output feedback control for nonlinear systems with time-varying parameter uncertainty satisfying some integral functional constraints. We address the problem of designing a compensator such that the [L.sub.2]-gain of the mapping from the exogenous input noise to the penalty output is minimized or guaranteed to be less than or equal to a prescribed value. We establish the interconnection between the robust nonlinear [H.sub.[infinity]]-control problem and the nonlinear [H.sub.[infinity]]-control problem. Based on this connection, a sufficient condition for the existence of a solution to the robust nonlinear [H.sub.[infinity]]-output feedback control problem is derived in terms of a "scaled" Hamiiton-Jacobi inequality.

This paper examines the problem of robust stabilization of a class of triangular structural time-delay nonlinear systems. Based on the constructive use of appropriate Lyapunov-Krasovskii functionals, an iterative procedure of constructing a stabilizing controller has been developed. A practical industry process has been provided to illustrate the application of the main result. Index Terms--Nonlinear systems, time delay system.