Global exponential synchronization of inertial memristive neural networks with time-varying delay via nonlinear controller

• Published in: Neural networks Vol. 102; pp. 138 - 148
• Main Authors: Gong, Shuqing, Yang, Shaofu, Guo, Zhenyuan, Huang, Tingwen
• Format: Journal Article
• Language: English
• Published: United States Elsevier Ltd 01-06-2018
• Subjects: Inertial memristive neural network; Nonlinear controller; Synchronization; Time-varying delay; Nonlinear controller; Synchronization; Inertial memristive neural network; Time-varying delay
• ISSN: 0893-6080; 1879-2782
• DOI: 10.1016/j.neunet.2018.03.001

The paper is concerned with the synchronization problem of inertial memristive neural networks with time-varying delay. First, by choosing a proper variable substitution, inertial memristive neural networks described by second-order differential equations can be transformed into first-order differential equations. Then, a novel controller with a linear diffusive term and discontinuous sign term is designed. By using the controller, the sufficient conditions for assuring the global exponential synchronization of the derive and response neural networks are derived based on Lyapunov stability theory and some inequality techniques. Finally, several numerical simulations are provided to substantiate the effectiveness of the theoretical results.