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Output synchronization control with input constraint of complex networks with reaction–diffusion terms

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Abstract

This paper addresses the problem for output synchronization of a class of complex networks (CNs) with reaction–diffusion terms and input constraint. Without considering input constraint, proportional–spatial derivative (P–sD) control of the CN is firstly studied, and then, the problem of output synchronization of CN is formulated as the feasibility problem of linear matrix inequalities (LMIs). Based on the obtained results, considering P–sD control with input constraint, output synchronization is then studied and formulated as the feasibility problem of LMIs and spatial algebraic linear matrix inequalities (SALMIs). In the end, numerical simulation shows the effectiveness of the proposed methods.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant No. 61273012, in part by the Science and Technology Development Plan Project of Shandong Province under Grant No. 2013GGX10601.

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Authors and Affiliations

  1. School of Automation and Electrical Engineering, Linyi University, Linyi, 276005, People’s Republic of China

    Chengyan Yang & Jianlong Qiu

  2. School of Logistics, Linyi University, Linyi, 276005, People’s Republic of China

    Xiaodong Li

  3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Jianlong Qiu

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  1. Chengyan Yang
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  2. Xiaodong Li
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Correspondence to Jianlong Qiu.

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Yang, C., Li, X. & Qiu, J. Output synchronization control with input constraint of complex networks with reaction–diffusion terms. Neural Comput & Applic 30, 3295–3302 (2018). https://doi.org/10.1007/s00521-017-2892-0

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