Global exponential stability of delayed periodic dynamical systems

摘要

In this Letter, we discuss delayed periodic dynamical systems, compare capability of criteria of global exponential stability in terms of various L-p (1 less than or equal to p < infinity) norms. A general approach to investigate global exponential stability in terms of various L-p (1 less than or equal to p < infinity) norms is given. Sufficient conditions ensuring global exponential stability are given, too. Comparisons of various stability criteria are given. More importantly, it is pointed out that sufficient conditions in terms of L-1 norm are enough and easy to implement in practice. (C) 2004 Elsevier B.V. All rights reserved. [References: 20]