Novel delay‐derivative‐dependent stability criteria using new bounding techniques

By Xianming Zhang, Qing-Long Han. 2013

135 citations recorded by the source corpus.

This paper studies the stability of linear systems with interval time‐varying delays. By constructing a new Lyapunov–Krasovskii functional, two delay‐derivative‐dependent stability criteria are formulated by incorporating with two different bounding techniques to estimate some integral terms appearing in the derivative of the Lyapunov–Krasovskii functional. The first stability criterion is derived by using a generalized integral inequality, and the second stability criterion is obtained by employing a reciprocally convex approach. When applying these two stability criteria to check the stability of a linear system with an interval time‐varying delay, it is shown through some numerical examples that the first stability criterion can provide a larger upper bound of the time‐varying delay than the second stability criterion. Copyright © 2012 John Wiley & Sons, Ltd.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/7ed5c7ed4fcfb766d5167b6e54f00a15b30c2f19

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In Computational Theory and Mathematics

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Citations in the corpus

Results on stability of linear systems with time varying delay (2017, methodology): “Compared with the simple functionals [1], augmented-based [5, 6, 9] and delay-partition-based functionals [13, 14] have been constructed to improve the stability criteria.”
Network-based leader-following consensus for distributed multi-agent systems (2013, unknown): “(15) Lemma 4 (Zhang & Han, 2012).”