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Pinning control of general complex dynamical networks with optimization

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Abstract

This paper addresses optimal pinning control of general complex dynamical networks. A pinning scheme with linear feedback is proposed to globally exponentially stabilize a network onto a homogeneous state. In particular, we answer an important and fundamental question about pinning control: how to select an optimal combination between the number of pinned nodes and the feedback control gain? Three illustrative examples are provided to show the effectiveness of the proposed technique.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    JunChan Zhao, JunAn Lu & XiaoQun Wu

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  1. JunChan Zhao
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  2. JunAn Lu
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  3. XiaoQun Wu
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Correspondence to JunAn Lu.

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Zhao, J., Lu, J. & Wu, X. Pinning control of general complex dynamical networks with optimization. Sci. China Inf. Sci. 53, 813–822 (2010). https://doi.org/10.1007/s11432-010-0039-3

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  • DOI: https://doi.org/10.1007/s11432-010-0039-3

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