Title | ||
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Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays |
Abstract | ||
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In this paper, a class of impulsive Cohen-Grossberg-type bi-directional associative memory (BAM) neural networks with distributed delays is investigated. By establishing an integro-differential inequality with impulsive initial conditions and employing the homeomorphism theory, the M-matrix theory and inequality technique, some new general sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for impulsive Cohen-Grossberg-type BAM neural networks with distributed delays are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on the system parameters and impulsive disturbed intension. An example is given to show the effectiveness of the results obtained here. |
Year | DOI | Venue |
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2010 | 10.1016/j.amc.2009.12.001 | Applied Mathematics and Computation |
Keywords | Field | DocType |
cohen–grossberg neural networks,global exponential stability,impulses,bi-directional associative memory,distributed delays,cohen-grossberg neural networks,equilibrium point,associative memory,matrix theory,initial condition | Uniqueness,Mathematical optimization,Content-addressable memory,Control theory,Equilibrium point,Exponential stability,Initial value problem,Rate of convergence,Artificial neural network,Mathematics,Numerical stability | Journal |
Volume | Issue | ISSN |
215 | 11 | Applied Mathematics and Computation |
Citations | PageRank | References |
11 | 0.63 | 19 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Kelin Li | 1 | 105 | 10.54 |
Liping Zhang | 2 | 12 | 1.00 |
Xinhua Zhang | 3 | 11 | 0.63 |
Zuoan Li | 4 | 12 | 1.32 |