Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays |
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| Authors: | Hao Zhang Xing-yuan Wang Xiao-hui Lin Chong-xin Liu |
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| Institution: | 1. Faculty of Electronic Information & Electrical Engineering, Dalian University of Technology, Dalian, China.; 2. Institute of Electrical Engineering, Xi''an Jiaotong University, Xi''an, China.; University of Ulm, Germany, |
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| Abstract: | In this paper, the synchronization problem for a class of discrete-time complex-valued neural networks with time-varying delays is investigated. Compared with the previous work, the time delay and parameters are assumed to be time-varying. By separating the real part and imaginary part, the discrete-time model of complex-valued neural networks is derived. Moreover, by using the complex-valued Lyapunov-Krasovskii functional method and linear matrix inequality as tools, sufficient conditions of the synchronization stability are obtained. In numerical simulation, examples are presented to show the effectiveness of our method. |
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