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., & Farsi, M. (2015). A less conservative criterion for stability analysis of linear systems with time-varying delay. Scientia Iranica, 22(6), 2415-2423.
MLA
A. Farnam; R. Mahboobi Esfanjani; M. Farsi. "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.
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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