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This note deals with the absolute stability of Lur'e control systems with time-varying delay. An augmented Lyapunov functional is introduced to establish some new stability criteria. First, for the nominal system, we develop some new stability conditions, by considering the additional useful terms and introducing some free-weighting matrices. In the proof of our results, we introduce some useful lemmas...
In this paper, we consider the problems of robust stability and stabilization of Lurpsilae control systems with time-varying delay. Firstly, by making use of an integral inequality, some delay-dependent robust stability conditions of the system are presented. Then, a sufficient stabilization criterion is established in the terms of linear matrix inequality (LMI), based on the above stability condition...
This paper is devoted to the absolute stability analysis of Lurie systems with time delay. A new delay-dependent Lyapunov function analyzing approach is proposed to reduce the conservativeness in computing the upper bound of the maximum allowed delay. Some new stability conditions are developed in terms of linear matrix inequalities. Examples are provided to demonstrate the reduced conservatism of...
The problem of absolute stability analysis for a class of time delay systems subject to sector-bounded nonlinearities is investigated in this paper. Some new stability conditions with less conservatism are derived based on a more general Lyapunov-Krasovskii functional. The obtained results are given in terms of linear matrix inequalities. Some numerical examples are given to illustrate the effectiveness...
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