Abstract. This paper addresses exponential stability problem for a class of linear systems with multiple time-varying delays. The time delay is any continuous function belonging to a given interval, in which the lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of LMIs.

Received: June 3, 2014

AMS Subject Classification: 15A09, 93D20, 37C75

Key Words and Phrases: exponential stability, interval multiple time-varying delays, Lyapunov function, linear matrix inequalities

Download paper from here.

---

DOI: 10.12732/ijpam.v96i4.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 4
Pages: 529 - 538

Google Scholar; zbMATH; DOI (International DOI Foundation); WorldCAT.

This work is licensed under the Creative Commons Attribution International License (CC BY).

---