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arxiv: 1010.3636 · v1 · pith:GMSTGFVQnew · submitted 2010-10-18 · 🧮 math.AP

Stabilization of coupled second order systems with delay

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keywords systemcoupleddelayloopstabilizationsystemsadjointammari
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In this paper we characterize the output feedback stabilization of some coupled systems with delay. The proof of the main result uses the method introduced in Ammari and Tucsnak \cite{at} where the exponential stability for the closed loop system is reduced to an observability estimate for the corresponding conservative adjoint system, under a boundedness condition of the transfer function of the associated open loop system.

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