Finite‐time stabilization of complex dynamical networks via optimal control |
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| Authors: | Guofeng Mei Xiaoqun Wu Di Ning Jun‐An Lu |
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| Affiliation: | 1. School of Mathematics and Statistics, Wuhan University, Hubei, China;2. Computational Science Hubei Key Laboratory, Wuhan University, Wuhan, China;3. School of Mathematics and Statistics, South‐Central University for Nationalities, Hubei, China |
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| Abstract: | An optimal control scheme is proposed to stabilize complex networks in finite time. Furthermore, since it is costly and impractical to control a network by applying controllers to all the nodes, an algorithm inspired by Kalmans controllability rank condition is presented for local stabilization by locating pinned components. Numerical examples are provided to illustrate the effectiveness of the proposed method as well as its superiority over a traditional pinning control technique. This work offers a theoretical framework for designing optimal controllers to stabilize networks in finite time with reduced control cost. © 2016 Wiley Periodicals, Inc. Complexity 21: 417–425, 2016 |
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| Keywords: | finite‐time stabilization optimal control pinned components complex network |
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