Integral sliding mode synchronization control for Markovian jump inertial memristive neural networks with reaction-diffusion terms

摘要

This paper is concerned with the synchronization problem for a class of inertial memristive neural networks (IMNNs), where the Markovian jump parameters and reaction-diffusion terms are involved. First, by choosing a suitable variable substitution, the original second-order differential systems can be transformed into the first-order ones. Then, based on the sliding mode control scheme, a specific sliding mode function that contains some mode-dependent integral terms and an integral term of the symbol function is proposed, so that the computational difficulties in handling Markovian jump IMNNs with reaction-diffusion terms can be solved. The synchronization criterion in forms of algebraic inequalities can be obtained by the ingenious use of some inequality techniques. Finally, three examples are provided to verify the feasibility, practicability and superiority of the proposed theoretical results. (C) 2019 Elsevier B.V. All rights reserved.