ISDS small-gain theorem and construction of ISDS Lyapunov functions for interconnected systems

Abstract We consider networks of input-to-state dynamically stable (ISDS) systems and use a small-gain condition to assure the ISDS property for their interconnection. Under this small-gain condition we provide a construction of an ISDS Lyapunov function including explicit derivation of corresponding rates and gains for the whole interconnection.

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