Title
Krasovskii functional, Razumikhin function and backstepping
Abstract
Recently, a renewal interesting is focused on time-delay systems, particularly nonlinear time-delay systems. Krasovskii functional or Razumikhin function based methods have been investigated widely, since the time-delay system is described by the functional differential equation, and the stability analyzing tools are provided early with the functional or function as a parallel way with the Lyapunov stability theory. In the spirit of Lyapunov function based design method, some interesting results on backstepping design for the time-delay systems have been given, however, this is an issue that easily leads a misunderstanding. This paper would show that the problem to construct a Krasovskii functional or Razumikhin function is not a trivial problem.
Year
DOI
Venue
2004
10.1109/ICARCV.2004.1469015
ICARCV
Keywords
Field
DocType
nonlinear time-delay system,functional differential equation,lyapunov stability,delay systems,functional equations,razumikhin function,nonlinear control systems,backstepping,differential equations,krasovskii functional,lyapunov methods,lyapunov function,design method
Lyapunov function,Backstepping,Lyapunov equation,Control theory,Computer science,Control-Lyapunov function,Lyapunov stability,Control engineering,Lyapunov redesign,Functional equation,Stability theory
Conference
Volume
ISSN
ISBN
2
2474-2953
0-7803-8653-1
Citations 
PageRank 
References 
1
0.36
3
Authors
4
Name
Order
Citations
PageRank
Xiaohong Jiao1754.80
Shen, T.2703.92
Yuanzhang Sun3367.68
K. Tamura410.36