%0 Journal Article
%T A less conservative criterion for stability analysis of linear systems with time-varying delay
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Farnam, A.
%A Mahboobi Esfanjani, R.
%A Farsi, M.
%D 2015
%\ 12/01/2015
%V 22
%N 6
%P 2415-2423
%! A less conservative criterion for stability analysis of linear systems with time-varying delay
%K Stability analysis
%K Interval time-varying delay
%K Linear Matrix Inequalities (LMIs)
%K Maximum Allowable Delay Bound (MADB)
%R
%X This paper investigates the problem of stability analysis for linear systems with time-varying delay. To reduce the conservativeness of sucient stability conditions, a novel augmented Lyapunov-Krasovskii Functional (LKF) which includes quadratic terms of double-integral phrases is introduced; as well, the technique of free-weighting matrices with new slack variables is employed; moreover, a tighter integral inequality is derived for bounding the cross-product terms in the derivative of chosen LKF. Numerical examples are presented to illustrate the superiority of the proposed method compared to some of the previously developed approaches.
%U https://scientiairanica.sharif.edu/article_3792_555bb8089868de0ee4f4fa6062420f43.pdf