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Zbl 1248.93073
Thuan, M.V.; Phat, V.N.; Trinh, H.M.
Dynamic output feedback guaranteed cost control for linear systems with interval time-varying delays in states and outputs. (English)
[J] Appl. Math. Comput. 218, No. 21, 10697-10707 (2012). ISSN 0096-3003

Summary: This paper addresses the dynamic output feedback guaranteed cost control problem of a class of time-delay systems where the state and output contain interval non-differentiable time-varying delays. The proposed controller uses only the delayed output measurement to stabilize the closed-loop system and guarantee an adequate level of system performance. By constructing a set of multiple Lyapunov--Krasovskii functionals which include triple-integral terms, a new criterion for the existence of dynamic output feedback guaranteed cost controllers is established and expressed in terms of Linear Matrix Inequalities (LMI). A numerical example is given to illustrate the obtained results.

MSC 2000:: *93B52 Feedback control
93D15 Stabilization of systems by feedback

Keywords: dynamic output feedback; exponential stabilization; interval time-varying delays; linear matrix inequality; Lyapunov function

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