# American Institute of Mathematical Sciences

2011, 2011(Special): 1457-1466. doi: 10.3934/proc.2011.2011.1457

## Periodic oscillations in a class of fuzzy neural networks under impulsive control

 1 Department of Dynamics and Control, Beijing University of Aeronautics and Astronautics, Beijing 100191, China 2 School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083

Received  June 2010 Revised  April 2011 Published  October 2011

In this paper, a class of fuzzy neural networks under impulsive control is discussed. Using Mawhin's continuation theorem of coincidence degree and the Halanay-type inequalities, some sucient conditions for existence and globally exponential stability of periodic solution are established. Fuzzy rules are put into Lipschitzian condition and a new method to study stability is introduced, based on the Halanay-type inequalities. Furthermore, some neural network models are considered to illustrate the feasibility and e ectiveness of our results.
Citation: Yong Zhao, Qishao Lu. Periodic oscillations in a class of fuzzy neural networks under impulsive control. Conference Publications, 2011, 2011 (Special) : 1457-1466. doi: 10.3934/proc.2011.2011.1457
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