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- Title
Strict Stability Criteria for Impulsive Functional Differential Systems.
- Authors
Kaien Liu; Guowei Yang
- Abstract
The article presents research on the application for Lyapunov functions and Razumikhin techniques for the strict stability criteria for impulsive functional differential systems. It notes that time-delay systems should be studied since they are frequently encountered in engineering, biology, economy and in other disciplines. It points out that the usual stability concepts do not give any information on the decay rate of solutions. Simultaneously obtaining the lower and upper bounds of Lyapunov function derivatives is considered relevant to obtain sufficient conditions this stability concepts to hold. The study shows that strict stability immediately implies that the zero solution is not asymptotically stable.
- Subjects
LYAPUNOV stability; LYAPUNOV functions; DIFFERENTIAL equations; EXTERIOR differential systems; FUNCTIONAL analysis; FUNCTIONAL equations; INTEGRAL equations; CALCULUS of variations; FUNCTION spaces
- Publication
Journal of Inequalities & Applications, 2008, Vol 2008, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1155/2008/243863