American Institute of Mathematical Sciences

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

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

Yong Zhao 1, and  Qishao Lu 2,

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 sucient 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.
Keywords: Periodic Oscillation, Stability, Impulsive control, Fuzzy neural networks.
Mathematics Subject Classification: Primary: 35C20, 35P20; Secondary: 93D15.
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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