Sign in
Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales
Journal article

Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales

Bacem Ben Nasser, Michael Defoort, Mohamed Djemai and Taous-Meriem Laleg-Kirati
IFAC PapersOnLine, Vol.51(16), pp.121-126
2018

Abstract

Dynamic equations on time scales Lyapunov-Razumikhin techniques Non-uniform time domains Practical stability
In this work, we investigate some Razumikhin-type criteria for the uniform global practical asymptotic stability on arbitrary time domains, for time-varying dynamic equations. Using Lyapunov-type functions on time scales, we develop appropriate inequalities ensuring that trajectories decay to the neighborhood of the trivial solution asymptotically. Some numerical examples are discussed to illustrate our results.

Metrics

1 Record Views

Details