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This paper is concerned with the problems of D-stability and D-stabilization for descriptor discrete time-delay systems with poytopic uncertainties. In terms of LMIs, sufficient conditions based on parameter-dependent Lyapunov functions are presented. These conditions guarantee all the poles of a corresponding system in a specified circular region. A numerical example illustrates the validity of our...
This article discusses the Lyapunov-Krasovskii functional method for the stability problem of coupled differential-functional equations with distributed delays and one discrete delay. However, systems with distributed delays and multiple commensurate discrete delays can be easily transformed to the standard form treated in this article. This standard form represents a very general class of time-delay...
This paper deals with a discrete-time piecewise affine (PWA) systems with time-delay. The PWA systems is described as ellipsoid which can be characterized by a set of vector inequalities, thereby the constraint of linear matrix inequalities (LMIs) is released. In terms of LMIs, the time-delay PWA system can be stabilized in Lyapunov theory. A convex optimization problem with LMIs constraints is formulated...
This paper focuses on the D-stable fault-tolerant control problem of the discrete time-delay uncertain systems with actuator failures. Using the linear matrix inequality method (LMI), a sufficient condition of the existence of the controller is given to maintain the discrete time-delay uncertain systems against actuator failures D-stable. The design of the D-stable fault-tolerant controller is proposed...
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