Impulsive stabilization of functional differential equations with infinite delays

✍ Scribed by Zhiguo Luo; Jianhua Shen

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 586 KB
• Volume: 16
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(03)00069-7

✦ Synopsis

In this paper, we study the stability of a class of impulsive functional differential equations with infinite delays. We establish a uniform stability theorem and a uniform asymptotic stability theorem, which shows that certain impulsive perturbations may make unstable systems uniformly stable, even uniformly asymptotically stable.