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Zbl 1204.92006
Wang, Huiwei; Song, Qiankun; Duan, Chengjun
LMI criteria on exponential stability of BAM neural networks with both time-varying delays and general activation functions. (English)
[J] Math. Comput. Simul. 81, No. 4, 837-850 (2010). ISSN 0378-4754

Summary: Exponential stability analysis for a bidirectional associative memory neural network model with both time-varying delays and general activation functions is considered. Neither the boundedness and the monotony on these activation functions nor the differentiability on the time-varying delays are assumed. By employing Lyapunov functionals and a linear matrix inequality (LMI) approach, several new sufficient conditions in LMI form are obtained to ensure the existence, uniqueness and global exponential stability of equilibrium points for the neural network. Moreover, the exponential convergence rate index is estimated, which depends on the system parameters. The proposed stability results are less conservative than some recently known ones in the literature, which is demonstrated via an example with simulation.

MSC 2000:: *92B20 General theory of neural networks
68T05 Learning and adaptive systems
15A39 Linear inequalities
65C20 Models (numerical methods)
37N25 Dynamical systems in biology
34K20 Stability theory of functional-differential equations

Keywords: BAM neural networks; time-varying delays; exponential stability; linear matrix inequality

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