Criteria for passivity of uncertain neural networks with time-varying delay

Xuyang Lou; Huibin Zhu; Baotong Cui

doi:10.1117/12.2010654

14 March 2013 Criteria for passivity of uncertain neural networks with time-varying delay

Xuyang Lou, Huibin Zhu, Baotong Cui

Proceedings Volume 8768, International Conference on Graphic and Image Processing (ICGIP 2012); 87680T (2013) https://doi.org/10.1117/12.2010654
Event: 2012 International Conference on Graphic and Image Processing, 2012, Singapore, Singapore

Abstract

This paper deals with the delay-dependent passivity problem for neural networks with norm-bounded parameter uncertainties and time-varying delay. Some new delay-dependent criteria ensuring delayed neural networks to be passive are derived with the aid of the Leibniz-Newton formula. By exploiting free-weighting matrix (relaxation matrix) approach and an inequality technique, we essentially remove the requirement of Lipschitz condition on neuron activation functions and rigorous assumption on the derivative of the time-varying delay to be less than one.

Citation Download Citation

Xuyang Lou, Huibin Zhu, and Baotong Cui "Criteria for passivity of uncertain neural networks with time-varying delay", Proc. SPIE 8768, International Conference on Graphic and Image Processing (ICGIP 2012), 87680T (14 March 2013); https://doi.org/10.1117/12.2010654

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