Abstract
This paper investigates the stabilization problem of neural networks with unbounded continuously distributed delays via impulsive control. By establishing an impulsive infinite delay differential inequality from the impulsive control point of view, some sufficient conditions ensuring the existence and global exponential stabilization of the unique equilibrium point are derived. Our result shows that impulses can be used to globally and exponentially stabilize the neural networks with unbounded continuously distributed delays if they are not originally stable or exponentially stable. Finally, two examples with their simulations are given to show the effectiveness of the proposed method.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 85-99 |
| Number of pages | 14 |
| Journal | IMA J. Appl. Math. |
| Volume | 80 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2015 |
Keywords
- Equilibrium point
- Global exponential stabilization
- Impulsive control
- Impulsive delay differential inequality
- Neural networks
- Unbounded continuously distributed delays
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Li, Xiaodi and O'Regan, Donal and Akca, Haydar