In this paper, a novel stability criterion is developed for time-delay systems having time-varying delays that belong to a given range. Based on a choice of different type of Lyapunov-Krasovskii functional in an extensively augmented form, some new delay-range dependent stability criteria are proposed. This developed stability result has advantages over some previous ones. First, the method is based on the selection of a new, extensively augmented Lyapunov-Krasovskii functional which does not only take the delay range into account but also the weighted version of it. Second it estimates the upper bound of the derivative of the Lyapunov functional without ignoring some useful integral terms. Finally, we have introduced several free slack variables in relation with Newton-Leibniz formula to provide some kind of relaxation for the proposed stability criteria. In addition to this, we have also employed the method of completing to squares which has enabled to provide further relaxation with some additional decision variables.
|Title of host publication||Proceedings of the 18th World Congress The International Federation of Automatic Control Milano (Italy) August 28 - September 2, 2011|
|Number of pages||6|
|Publication status||Published - Jan 2011|
- interval delays
- Lyapunov-Krasovskii Functional Stability
Parlakci, M. N. A., & Kucukdemiral, I. B. (2011). Further stability criteria for time-delay systems with interval time-varying delays. In Proceedings of the 18th World Congress The International Federation of Automatic Control Milano (Italy) August 28 - September 2, 2011 (pp. 3867-3872). (IFAC Proceedings; Vol. 44, No. 1). Elsevier B.V.. https://doi.org/10.3182/20110828-6-IT-1002.00111