Stability analyses of cellular neural networks with continuous time delay. (English) Zbl 1032.34072
The authors discuss stability problems for delayed cellular neural networks. Several sufficient conditions are obtained to ensure the existence and boundedness of a solution and the global asymptotic stability of the equilibrium point based on Lyapunov’s method and matrix theory. Two numerical simulation examples are given to demonstrate the obtained results.
Reviewer: Jinde Cao (Nanjing)
MSC:
| 34K20 | Stability theory of functional-differential equations |
| 68T05 | Learning and adaptive systems in artificial intelligence |
| 68M10 | Network design and communication in computer systems |
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 92C37 | Cell biology |
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