AUTHORS: Amal Zouhri, Ismail Boumhidi

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ABSTRACT: In this paper, we present a decentralized stability problem for a class of linear interconnected systems with time-varying delay in the state of each subsystems and in the interconnections. Based on the Lyapunov method, we characterize decentralized linear matrix inequalities (LMI) based delay-dependent stability conditions such that every local subsystem of the linear interconnected delay system is asymptotically stable. The solutions of the LMIs can be obtained easily using efficient convex optimization techniques. A practice example is given in order to show the efficiency of the obtained result.

KEYWORDS: Interconnected systems, Time-delay systems, Delay-dependent stability, Lyapunov method, linear matrix inequality (LMI)

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