A Necessary and Sufficient Condition of Bounded Real Lemma for Interval Delay Systems

Abstract

Bounded real lemma is discussed for interval delay systems, and a necessary and sufficient condition is characterized with parameter-dependent LMIs. The condition is further transformed to standard LMIs, and it is shown that the parameter-region partitioning enables to treat the necessary and sufficient condition with arbitrary resolution and precision. The computation efficiency for the evaluation of optimal H_∞ performance is discussed with numerical examples.