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This paper addresses decentralized exponential stability problem for a class of nonlinear large-scale systems with time-varying delay in interconnection is considered. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with LeibnizNewton’s formula, new delay-dependent sufficient conditions for the existence of decentralized exponential stability is established in terms of LMIs. AMS Subject Classification: 93C30, 93D20, 37C75, 34G20, 93A15

international journal of pure and applied mathematics

DELAY-DEPENDENT DECENTRALIZED EXPONENTIAL STABILITY OF NONLINEAR LARGE-SCALE SYSTEMS WITH NON-DIFFERENTIABLE AND INTERVAL TIME-VARYING DELAY IN INTERCONNECTION