Finite time stability for fractional order complex valued neural networks with time delay
Abstract 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.
Appl. Math. Comput.