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We consider the stabilization of discrete-time nonlinear OdE systems under discrete transport PdEs which convect in opposite directions. An explicit feedback law that compensates discrete transport PdEs actuator dynamics is designed. Global asymptotic stability of the closed-loop system is proved with the aid of a Lyapunov function. The feedback design is illustrated through an example. The proposed...
The delay-dependent sliding mode control problem of a class of uncertain neutral delay systems is considered. By selecting a sliding surface depending on the current state and delayed state, the paper gives a delay-dependent sufficient condition in terms of linear matrix inequalities(LMIs) such that the closed-loop system is guaranteed to be asymptotically stable. According to reaching condition,...
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