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This paper proposes a class of H∞ filter design for continue-time systems with time-varying delay. By using the Lyapunov functional function approach, some delay-dependent stability conditions can be obtained for the asymptotical stability of the H∞ filter systems, which are expressed as a set of Linear Matrix Inequalities (LMIs). Finally, a numerical example is given to demonstrate the effectiveness...
This paper is concerned with the problem of full-order robust L2-Linfin estimation for continuous-time polytopic uncertain time-delay systems. An improved L2-Linfin performance criterion is provided in terms of linear matrix inequalities. It exhibits a kind of decoupling between the Lyapunov matrices and the system dynamic matrices compared with the existing result. Then two sufficient conditions...
This paper investigates the robust stability for systems with time-varying delay. An improved linear matrix inequality (LMI) based robust delay-dependent stability test is introduced to ensure a larger upper bound for time-varying delays affecting the state vector of an uncertain continuous-time system with norm-bounded type uncertainties. We construct a new class of Lyapunov-Krasovskii functionals...
This paper investigates the problem of robust L/sub 1/, model reduction for linear continuous time-delay systems with parameter uncertainties. For a given stable system, our purpose is to construct reduced-order systems, such that the error system between the two models is asymptotically stable and has a guaranteed L/sub 1/ performance constraint. The L/sub 1/ performance criterion is first established...
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