Automatica, Vol.44, No.11, 2950-2953, 2008
A small gain theorem for systems with non-causal subsystems
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. (C) 2008 Elsevier Ltd. All rights reserved.