1
SYSTeMS Research Group, Ghent University, Ghent, Belgium.
2
Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran
Abstract
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.
Farnam, A. , Mahboobi Esfanjani, R. and Farsi, M. (2015). A less conservative criterion for stability analysis of linear systems with time-varying delay. Scientia Iranica, 22(6), 2415-2423.
MLA
Farnam, A. , , Mahboobi Esfanjani, R. , and Farsi, M. . "A less conservative criterion for stability analysis of linear systems with time-varying delay", Scientia Iranica, 22, 6, 2015, 2415-2423.
HARVARD
Farnam, A., Mahboobi Esfanjani, R., Farsi, M. (2015). 'A less conservative criterion for stability analysis of linear systems with time-varying delay', Scientia Iranica, 22(6), pp. 2415-2423.
CHICAGO
A. Farnam , R. Mahboobi Esfanjani and M. Farsi, "A less conservative criterion for stability analysis of linear systems with time-varying delay," Scientia Iranica, 22 6 (2015): 2415-2423,
VANCOUVER
Farnam, A., Mahboobi Esfanjani, R., Farsi, M. A less conservative criterion for stability analysis of linear systems with time-varying delay. Scientia Iranica, 2015; 22(6): 2415-2423.
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