On delayed impulsive Hopfield neural networks
โ Scribed by Zhi-Hong Guan; Guanrong Chen
- Book ID
- 104348942
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 108 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0893-6080
No coin nor oath required. For personal study only.
โฆ Synopsis
Many evolutionary processes, particularly some biological systems, exhibit impulsive dynamical behaviors, which can be well described by impulsive Hopfield neural networks. This paper formulates and studies a model of delayed impulsive Hopfield neural networks. Several fundamental issues such as global exponential stability, existence and uniqueness of the equilibrium of such networks are established. A numerical example is given for illustration and interpretation of the theoretical results.
๐ SIMILAR VOLUMES
In this paper, we consider the uniform asymptotic stability, global asymptotic stability and global exponential stability of the equilibrium point of Hopfield neural networks with delays and impulsive perturbation. Some new stability criteria for such system are derived by using the Lyapunov functio
In this paper we investigate multistability of discrete-time Hopfield-type neural networks with distributed delays and impulses, by using Lyapunov functionals, stability theory and control by impulses. Example and simulation results are given to illustrate the effectiveness of the results.