Further results for robust stability of cellular neural networks with linear fractional uncertainty

Abstract

A novel method is proposed for existence, uniqueness, asymptotic stability of certain and uncertain cellular neural networks with interval time-varying delays. By introducing triple-integral terms, a new Lyapunov functional is established. Without assuming the boundedness and monotonicity of activation functions, by applying homeomorphism mapping theorem, Jensen integral inequality and generalized Jensen integral inequality, new delay-dependent stability criteria are obtained with some free-weighting matrices involved. Since the results are presented in terms of linear matrix inequalities, the conditions can be solved efficiently by using the recently developed interior-point algorithm. Finally, four examples are also given to illustrate the effectiveness and less conservativeness of the proposed criteria.