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The LMI method for stationary oscillation of interval neural networks with three neuron activations under impulsive effects. (English) Zbl 1263.92003

Summary: We investigate the stationary oscillations of interval neural networks with three neuron activation functions and time-varying delays under impulsive perturbations. Several theorems are given which present some sufficient conditions to guarantee the existence, uniqueness, and global exponential stability of periodic solutions (i.e., stationary oscillation) based on a Lyapunov functionals approach and inequality analysis techniques. The obtained results can be easily checked by the linear matrix inequality control toolbox in MATLAB. Finally, an example is given to illustrate the advantage of the obtained results.

MSC:

92B20 Neural networks for/in biological studies, artificial life and related topics
34K13 Periodic solutions to functional-differential equations
34K45 Functional-differential equations with impulses
15A45 Miscellaneous inequalities involving matrices
34K20 Stability theory of functional-differential equations
92-04 Software, source code, etc. for problems pertaining to biology

Software:

LMI toolbox; Matlab
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