Name
Title | ||
|---|---|---|
Stability of equilibrium solution and periodical solution to Cohen-Grossberg neural networks |
Abstract | ||
|---|---|---|
In this paper, we study delayed reaction-diffusion Cohen-Grossberg neural networks with Dirichlet boundary conditions. By using topology degree theory and constructing suitable Lyapunov functional, some sufficient conditions are given to ensure the existence, uniqueness and globally exponential stability of the equilibrium point. At the same time, another sufficient conditions are also given to ensure the existence and exponential convergence of the periodical solution. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/978-3-642-16530-6_7 | AICI (1) |
Keywords | Field | DocType |
sufficient condition,equilibrium point,exponential stability,equilibrium solution,topology degree theory,reaction-diffusion cohen-grossberg neural network,exponential convergence,dirichlet boundary condition,periodical solution,reaction diffusion,lyapunov function | Uniqueness,Mathematical analysis,Equilibrium point,Dirichlet boundary condition,Exponential stability,Artificial neural network,Lyapunov functional,Exponential convergence,Mathematics | Conference |
Volume | ISSN | ISBN |
6319 | 0302-9743 | 3-642-16529-X |
Citations | PageRank | References |
1 | 0.35 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jingsheng Lei | 1 | 691 | 69.87 |
| Ping Yan | 2 | 16 | 2.80 |
| Teng Lv | 3 | 37 | 6.02 |