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This paper deals with the stability issues of linear systems with interval time-varying delay. Firstly, two kinds of time-varying delay are considered. Then, based on a new delay bisection approach and a tighter bounding inequality, some less conservative stability conditions are proposed, which are effective for both slow and fast time-varying delay. No model transformation and no slack matrix variable...
This paper deals with the problem of the asymptotical stability for a class of linear systems with multiple time-delays. Using Lyapunov-Razumikhin theorem and the concept of matrix norm, the sufficient conditions of delay-independent stability and delay-dependent stability are derived to ensure that the linear systems with multiple time-delays are asymptotically stable. By comparing with the present...
The delay-dependent H∞ control for switched systems with time-delay is discussed in this paper. Based on linear matrix inequalities (LMI), a new delay-dependent condition is then derived by employing Lyapunov-Razumikhin functional method, which can ensure that the switched system is asymptotically stable with a prescribed Hinfin performance. Moreover, a switching state feedback strategy is proposed...
This paper is concerned with the delay-dependent stability for linear systems with time delays. By decomposing the delay interval into three equidistance subintervals, on which different Lyapunov functionals are defined, a new Lyapunov-Krasvskii functional is then constructed. With its help, a series of new delay dependent stability criteria are established for both constant and time-varying delays...
This paper deals with the problem of delay-dependent robust stability for uncertain linear systems with time varying multi-state delays. Some new delay-dependent stability criteria are derived by using free weighting matrices which are selected by means of linear matrix inequalities, and the new criteria are less conservative than existing ones. Finally, an example is given to illustrate the effectiveness...
This paper deals with the problem of delay-dependent robust stability for a class of linear systems with multiple time-varying delays and nonlinear perturbations. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, LMIs are derived by taking the relationship between the Leibniz-Newton formula and free weighting matrices, The free terms are chosen according...
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