Name
Title | ||
|---|---|---|
New delay-dependent absolute stability criteria for Lur'e systems with time-varying delay |
Abstract | ||
|---|---|---|
In this article, the absolute stability problem is investigated for Lur'e systems with time-varying delay and sector-bounded nonlinearity. By employing the delay fractioning idea, the new augmented Lyapunov functional is first constructed. Then, by introducing some slack matrices and by reserving the useful term when estimating the upper bound of the derivative of Lyapunov functional, the new delay-dependent absolute stability criteria are derived in terms of linear matrix inequalities. Several numerical examples are presented to show the effectiveness and the less conservativeness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1080/00207720903308348 | Int. J. Systems Science |
Keywords | Field | DocType |
slack matrix,new delay-dependent absolute stability,useful term,sector-bounded nonlinearity,linear matrix inequality,numerical example,absolute stability problem,time-varying delay,upper bound,lyapunov function | Mathematical optimization,Nonlinear system,Upper and lower bounds,Control theory,Matrix (mathematics),Absolute stability,Lyapunov functional,Mathematics | Journal |
Volume | Issue | ISSN |
42 | 7 | 0020-7721 |
Citations | PageRank | References |
3 | 0.39 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yonggang Chen | 1 | 267 | 20.44 |
| Weiping Bi | 2 | 57 | 3.56 |
| Wenlin Li | 3 | 104 | 6.69 |