In this paper, the conditions ensuring existence, uniqueness, and global exponential stability of the equilibrium point of a class of neural networks with variable delays are studied. Without assuming global Lipschitz conditions on these activation functions, applying idea of vector Lyapunov functio
Global stability of cellular neural networks with constant and variable delays
β Scribed by Xue Mei Li; Li Hong Huang; Huiyan Zhu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 138 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
This paper gives new conditions ensuring global asymptotic stability and global exponential stability for cellular neural networks with constant delay and variable delay, respectively. These conditions are derived by using the essence of piecewise linearity of the output function of cellular neural networks and by constructing Lyapunov functions and functionals. Furthermore, these conditions are signiΓΏcantly weaker than those given in existing literature.
π SIMILAR VOLUMES
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