Technical communique: A small gain theorem for systems with non-causal subsystems

Authors:
Hakkı Ulaş ínal;Altuğ İftar
Affiliations:
Department of Electrical and Electronics Engineering, Anadolu University, TR-26470 Eskişehir, Turkey;Department of Electrical and Electronics Engineering, Anadolu University, TR-26470 Eskişehir, Turkey
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 2
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Automatica (Journal of IFAC)

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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.