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A small gain theorem for systems with non-causal subsystems
Authors:Hakk? Ula? Ünal
Affiliation:Department of Electrical and Electronics Engineering, Anadolu University, TR-26470 Eski?ehir, Turkey
Abstract:Small gain theorems are used to verify the stability of a feedback interconnection of causal stable systems. In this work, we extend the small gain condition to test the stability of a feedback interconnection of two stable systems at least one of which is non-causal. This result may find application in the robust controller design for time-delay systems.
Keywords:Stability  Small gain theorem  Non-causal systems  Non-linear systems  Time-varying systems
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