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This paper studies the H∞ control for a class of quasi‐linear uncertain stochastic time‐varying delayed systems. Firstly, by using the linear matrix inequality (LMI) method, a sufficient condition is obtained for the robustly stochastic stability. Secondly, the robust H∞ state feedback controller is designed, such that the considered system is not only internally stochastically stabilizable but also...
Sliding mode control problem of a class of Itô type partial differential equations with delay is probed. The variable structure controller is designed. The existence of motion of sliding mode is shown. And the character of invariance of sliding control system about uncertainty on the sliding switching surface and stability are analyzed.
Designing a discrete nonlinear H/sup /spl infin// control law requires solving the discrete Hamilton-Jacobi-Issac (DHJI) equations, which are a set of mixed nonlinear partial and algebraic differential equations. An algorithm for obtaining the Taylor series solution of DHJI equations was given in which showed that the coefficients of the Taylor series solution were governed by an algebraic Ricatti...
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