Name
Title | ||
|---|---|---|
State feedback stabilization of a class of uncertain nonlinear systems on non-uniform time domains. |
Abstract | ||
|---|---|---|
This paper deals with the stabilization problem for a class of uncertain nonlinear systems on non-uniform time domains. Some sufficient conditions are derived to design a state feedback controller for a class of uncertain nonlinear time-varying systems under vanishing perturbations. Using some Gronwall’s integral inequalities, the uniform exponential stability of the closed-loop systems on arbitrary time scales, is guaranteed. Then, based on the Lyapunov theory, new sufficient conditions are proposed to derive the controller which ensures the practical stability of the closed-loop time-invariant nonlinear uncertain system under non-vanishing perturbations. Some examples illustrate these results. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.sysconle.2016.08.005 | Systems & Control Letters |
Keywords | Field | DocType |
Time scales,Stabilization,Nonlinear systems,Exponential stability,Practical stability | Lyapunov function,Mathematical optimization,Control theory,Nonlinear system,Full state feedback,Control theory,Exponential stability,Mathematics,Perturbation (astronomy) | Journal |
Volume | ISSN | Citations |
97 | 0167-6911 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bacem Ben Nasser | 1 | 0 | 0.34 |
| Khaled Boukerrioua | 2 | 0 | 0.34 |
| Michael Defoort | 3 | 433 | 33.97 |
| M. Djemaϊ | 4 | 69 | 16.61 |
| M.A. Hammami | 5 | 10 | 6.14 |