Paper Info
Title
Delay-independent stability of homogeneous systems.
Abstract
A class of nonlinear systems with homogeneous right-hand sides and time-varying delay is studied. It is assumed that the trivial solution of a system is asymptotically stable when delay is equal to zero. By the usage of the Lyapunov direct method and the Razumikhin approach, it is proved that the asymptotic stability of the zero solution of the system is preserved for an arbitrary continuous nonnegative and bounded delay. The conditions of stability of time-delay systems by homogeneous approximation are obtained. Furthermore, it is shown that the presented approaches permit to derive delay-independent stability conditions for some types of nonlinear systems with distributed delay. Two examples of nonlinear oscillatory systems are given to demonstrate the effectiveness of our results.
Year
DOI
Venue
2014
10.1016/j.aml.2014.03.016
Applied Mathematics Letters
Keywords
Field
DocType
Homogeneous systems,Time-delay,Asymptotic stability,Lyapunov function,Oscillatory systems
Lyapunov function,Mathematical optimization,Bounded delay,Nonlinear system,Mathematical analysis,Homogeneous,Stability conditions,Exponential stability,Lyapunov direct method,Mathematics,Stability theory
Journal
Volume
ISSN
Citations 
34
0893-9659
3
PageRank 
References 
Authors
0.41
7
2
Name
Order
Citations
PageRank
A. Yu. Aleksandrov1518.42
A. P. Zhabko214034.10