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In this work, small-gain theorems for large-scale time-delay systems are developed using a Razumikhin-type approach, both in terms of ISS and IOS. In the spirit of the Razumikhin theorem, the state variables with delays are treated as disturbances to the system. This approach converts the problem of stability analysis for functional differential equations to the more tractable problem of stability analysis for delay-free systems with disturbances.
Decision and Control (CDC), 2010 49th IEEE Conference on
Date of Conference: 15-17 Dec. 2010