Title
Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales.
Abstract
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.
Year
DOI
Venue
2018
10.1016/j.ifacol.2018.08.021
IFAC-PapersOnLine
Keywords
Field
DocType
Dynamic equations on time scales,Practical stability,Lyapunov-Razumikhin techniques,Non-uniform time domains
Applied mathematics,Dynamic equation,Exponential stability,Mathematics
Conference
Volume
Issue
ISSN
51
16
2405-8963
Citations 
PageRank 
References 
0
0.34
5
Authors
4
Name
Order
Citations
PageRank
Bacem Ben Nasser100.34
Michael Defoort243333.97
M. Djemaϊ36916.61
Taous-Meriem Laleg-Kirati47324.32