RT - Journal Article T1 - A New Approach to Bounded Real Lemma Representation for Linear Neutral Systems JF - joc-isice YR - 2010 JO - joc-isice VO - 3 IS - 4 UR - http://joc.kntu.ac.ir/article-1-154-en.html SP - 46 EP - 57 K1 - Bounded Real Lemma (BRL) K1 - Neutral system K1 - descriptor model K1 - Linear Matrix Inequality (LMI). AB - This paper is concerned with bounded real criterion for linear neutral delay systems. Two new delay-dependent bounded real lemmas (BRLs) are obtained in this paper, in which, Lyapunov theory is used to derive the first delay-dependent representation for BRL. Using a descriptor model transformation of the system and a new Lyapunov-Krasovskii functional, a less conservative bounded real lemma is obtained compared to that of the first BRL. Then sufficient conditions for the system to possess an H-norm less than a prescribed level, is given in terms of a linear matrix inequality (LMI). The significant advantage of the derived bounded real lemmas is their efficiency in designing H controller for the closed-loop neutral systems when delayed term coefficients depend on the controller parameters. Numerical examples are given which illustrate the effectiveness of our proposed BRLs LA eng UL http://joc.kntu.ac.ir/article-1-154-en.html M3 ER -