Name
Title | ||
|---|---|---|
Global exponential stability of a class of impulsive neural networks with unstable continuous and discrete dynamics. |
Abstract | ||
|---|---|---|
This paper deals with global exponential stability of a class of impulsive neural networks whose continuous and discrete dynamics are unstable. Assuming that the impulsive neural network under consideration can be decomposed into two lower order impulsive systems, a time-varying weighted Lyapunov function associated with the impulse time sequence is introduced for stability analysis. A novel global exponential stability criterion is derived in terms of linear matrix inequalities (LMIs). By employing the newly obtained stability criterion, a sufficient condition on the existence of a reduced-order impulsive controller is derived. Unlike the previous results concerning impulsive control, the proposed reduced-order impulsive controller only exerts the impulses on a partial set of the state vector. Moreover, the controller gain matrices can be achieved by solving a set of LMIs. Finally, four illustrative examples are given to show the effectiveness of the developed techniques and results. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.neucom.2014.06.072 | Neurocomputing |
Keywords | Field | DocType |
Impulsive neural networks,Unstable dynamics,Time-varying Lyapunov function,Reduced-order impulsive control,Linear matrix inequality | Lyapunov function,Stability criterion,Control theory,State vector,Matrix (mathematics),Control theory,Exponential stability,Artificial neural network,Linear matrix inequality,Mathematics | Journal |
Volume | ISSN | Citations |
147 | 0925-2312 | 5 |
PageRank | References | Authors |
0.44 | 25 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Linna Wei | 1 | 5 | 0.44 |
| Wu-Hua Chen | 2 | 869 | 58.24 |