Abstract
In this study, we present the convergence of time-varying networks. Then, we apply the convergence property to cooperative control of nonlinear multiagent systems (MASs) with unknown control directions (UCDs), and illustrate a new kind of Nussbaum-type function based control algorithms. It is proven that if the time-varying networks are cut-balance, the convergence of nonlinear MASs with nonidentical UCDs is achieved using the presented algorithms. A critical feature of this application is that the designed algorithms can deal with nonidentical UCDs by employing conventional Nussbaum-type functions. Finally, one simulation example is given to illustrate the effectiveness of the presented algorithms.
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Project supported by the National Natural Science Foundation of China (Nos. 61973074, U1713209, 61520106009, and 61533008), the National Key R&D Program of China (No. 2018AAA0101400), the Science and Technology on Information System Engineering Laboratory, China (No. 05201902), and the Fundamental Research Funds for the Central Universities, China
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Qingling WANG declares that he has no conflict of interest.
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Wang, Q. Convergence of time-varying networks and its applications. Front Inform Technol Electron Eng 22, 88–96 (2021). https://doi.org/10.1631/FITEE.2000160
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DOI: https://doi.org/10.1631/FITEE.2000160