Journal
NONLINEAR DYNAMICS
Volume 67, Issue 4, Pages 2419-2432Publisher
SPRINGER
DOI: 10.1007/s11071-011-0156-6
Keywords
The existence of an equilibrium point; The general Cohen-Grossberg neural networks with multiple delays; Global exponential stability; Linear matrix inequality technique; Degree theory; Lyapunov functional
Categories
Ask authors/readers for more resources
In this paper, we first discuss the existence of an equilibrium point to a general Cohen-Grossberg neural networks with multiple delays by means of using degree theory and linear matrix inequality (LMI) technique. Then by applying the existence result of an equilibrium point, linear matrix inequality technique and constructing a Lyapunov functional, we study the global exponential stability of equilibrium solution to the Cohen-Grossberg neural networks. Compared with known results, our results of global exponential stability of equilibrium point are new. In our results, the hypothesis for differentiability in existing papers on the behaved functions is removed and the hypotheses for boundedness and monotonicity in existing papers on the activation functions are also removed.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available