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Passivity analysis of delayed neural networks with discontinuous activations via differential inclusions |
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| Authors: | Jian Xiao Zhigang Zeng Wenwen Shen Ailong Wu |
| Institution: | 1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China 2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, 430074, China 3. College of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China |
| Abstract: | Without assuming the boundedness and monotonicity of neuron activations, we investigate passivity of delayed neural networks with discontinuous activations. Based on differential inclusion theory, sufficient conditions are established in form of linear matrix inequality by employing the generalized Lyapunov approach. In addition, a kind of control input is designed to stabilize neural network with activation functions having special form. Finally, some numerical examples are proposed to show the effectiveness of developed results. |
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