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FRACTIONAL halanay INEQUALITY AND APPLICATION IN NEURAL NETWORK THEORY

Acta Mathematica Scientia 2019年第6期39卷 1605-1618页

作者： Nasser-eddine TATAR King Fahd University of Petroleum and Minerals Department of Mathematics and Statistics

The (integer order) halanay inequality with distributed delays is extended to the fractional order case. It is proved that solutions decay to zero as a Mittag-Leffler function as time goes to infinity provided that the delay feedback are bounded by similar *** application to a problem arising in neural network theory is provided showing that the equilibrium is Mittag-Leffler stable.