Finite-time stability for fractional-order complex-valued neural networks with time delay

摘要

This paper explores the finite-time stability of fractional-order complex valued neural networks with time delay. By employing Laplace transform and the properties of Mittag-Leffler function, a lemma of exponent stability is developed to derive the finite-time stability conditions. Further, by using the proposed lemma and the techniques of inequalities, the finite-time stability of fractional-order complex-valued neural networks with time delay is analyzed with and without a controller. In addition, some sufficient conditions are proposed to analyze the finite-time stability of the fractional-order complex-valued neural networks and the setting time for stability is also estimated. Finally, two examples are used to verify the validity and feasibility of the proposed criteria.