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The problem of robust state feedback guaranteed cost control was considered for a class of uncertain switched linear systems with time delays. A Lyapunov function was constructed, while linear matrix inequality (LMI) approach and switching technique were used for the class of systems with time-delay contained in both state and input. Memory hybrid state(More)
A more simpler-to-solve approach to H<inf>&#x221E;</inf> output feedback control for singular systems is proposed in this paper. Base on Projection lemma and Finsler's lemma combined with linear matrix inequality (LMI) technique, strict LMI conditions are derived, under which the resulting closed-loop system guarantees the admissibility as well as a desire(More)
This paper focuses on the problem of robust passive control for a class of singular systems which contain structure uncertainties and time delay. A memorial state feedback controller is considered, and the controller is constructed such that closed-loop systems are generalized quadratically stable and passive with dissipation. The algorithm are given for(More)
A new and simple approach to design output feedback controllers for switched systems is proposed in this paper. The bilinear inequality including Lyapunov matrix and output feedback gain matrix is decoupled by introducing additional instrumental matrix variable. Combined with multiple Lyapunov function method, the bilinear inequality is transformed into(More)
In this paper, a discrete epidemic model with nonlinear incidence rate obtained by the forward Euler method is investigated. The conditions of existence for Neimark-Sacker bifurcation are derived by using bifurcation theory. In order to eliminate the Neimark-Sacker bifurcation of the discrete epidemic model, a tracking controller is designed such that the(More)
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