Effects of leakage delay on global asymptotic stability of complex‐valued neural networks with interval time‐varying delays via new complex‐valued Jensen's inequality |
| |
| Authors: | R. Samidurai R. Sriraman Jinde Cao Zhengwen Tu |
| |
| Affiliation: | 1. Department of Mathematics, Thiruvalluvar University, Vellore 632115, India;2. School of Mathematics, Southeast University, Nanjing 211189, China;3. School of Electrical Engineering, Nantong University, Nantong 226019, China;4. School of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, China;5. Chongqing Engineering Research Center of Internet of Things and Internet Control Technology, and School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404100, China |
| |
| Abstract: | This paper investigates the global asymptotic stability analysis for a class of complex‐valued neural networks with leakage delay and interval time‐varying delays. Different from previous literature, some sufficient information on a complex‐valued neuron activation function and interval time‐varying delays has been considered into the record. A suitable Lyapunov‐Krasovskii functional with some delay‐dependent terms is constructed. By applying modern integral inequalities, several sufficient conditions are obtained to guarantee the global asymptotic stability of the addressed system model. All the proposed criteria are formulated in the structure of a complex‐valued linear matrix inequalities technique, which can be checked effortlessly by applying the YALMIP toolbox in MATLAB linear matrix inequality. Finally, two numerical examples with simulation results have been provided to demonstrate the efficiency of the proposed method. |
| |
| Keywords: | complex‐valued neural networks global asymptotic stability interval time‐varying delays leakage delay |
|
|
