Name
Title | ||
|---|---|---|
Impulsive observers with variable update intervals for Lipschitz nonlinear time-delay systems |
Abstract | ||
|---|---|---|
This article is concerned with the design of impulsive observers with variable update intervals for Lipschitz nonlinear systems with delays in state. Discontinuous Lyapunov function/funtional approaches are developed to analyse the stability of error dynamics. Delay-independent sufficient conditions for uniform exponential stability of the error dynamics over variable update intervals are derived in terms of linear matrix inequalities LMIs. When these LMIs are feasible, the observer gain matrix can be solved numerically with an LMI-based optimisation algorithm. Numerical examples are provided to show the efficiency of the proposed approach. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1080/00207721.2012.670305 | Int. J. Systems Science |
Keywords | Field | DocType |
error dynamic,lipschitz nonlinear time-delay system,lipschitz nonlinear system,funtional approach,observer gain matrix,linear matrix inequalities lmis,discontinuous lyapunov function,delay-independent sufficient condition,variable update interval,lmi-based optimisation algorithm,uniform exponential stability,impulsive observer,nonlinear system,lyapunov function,linear matrix inequality | Lyapunov function,Mathematical optimization,Lipschitz nonlinear systems,Nonlinear system,Matrix (mathematics),Control theory,Exponential stability,Lipschitz continuity,Observer (quantum physics),Mathematics | Journal |
Volume | Issue | ISSN |
44 | 10 | 0020-7721 |
Citations | PageRank | References |
10 | 0.57 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wu-Hua Chen | 1 | 869 | 58.24 |
| Dan-Xia Li | 2 | 10 | 0.57 |
| Xiaomei Lu | 3 | 10 | 0.57 |