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Lyapunov equation for the stability of linear delay systems of retarded and neutral type

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1 Author(s)
Bliman, P. ; Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France

In this note, the delay-independent stability of delay systems is studied. It is shown that the strong delay-independent stability is equivalent to the feasibility of certain linear matrix inequality (LMI), that is to the existence of a quadratic Lyapunov-Krasovskii functional, independent of the (nonnegative) value of the delay. This constitutes the analogue of some well-known properties of finite-dimensional systems. This result is then applied to study delay-independent stability of systems with polytopic uncertainties

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Automatic Control, IEEE Transactions on  (Volume:47 ,  Issue: 2 )