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A new approach to practical stability of impulsive functional differential equations in terms of two measures

✍ Scribed by Yang Liu; Shouwei Zhao

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
629 KB
Volume
223
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this work, we consider a new approach to the practical stability theory of impulsive functional differential equations. With Lyapunov functionals and Razumikhin technique, we use a new technique in the division of Lyapunov functions, given by Shunian Zhang, and obtain conditions sufficient for the uniform practical (asymptotical) stability of impulsive delay differential equations. An example is also discussed to illustrate the advantage of the proposed results.

πŸ“œ SIMILAR VOLUMES

Stability on a cone in terms of two meas
Stability on a cone in terms of two measures for impulsive differential equations with β€œsupremum”
✍ Snezhana G. Hristova πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 245 KB

The stability of nonlinear impulsive differential equations with ''supremum'' is studied. A special type of stability, combining two different measures and a dot product, is defined. The definition is a generalization of several types of stability known in the literature. Razumikhin's method as well