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Generalized multi-synchronization viewed as a multi-agent leader-following consensus problem

Author

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  • Martínez-Guerra, Rafael
  • Cruz-Ancona, Christopher D.
  • Pérez-Pinacho, Claudia A.

Abstract

The work presents the generalized multi-synchronization of strictly different chaotic systems problem as a multi-agent leader-following consensus problem with fixed and not strongly connected topology from a differential algebra point of view. This problem is solved by using the differential primitive element as a linear combination of state measurements and control inputs from which it is possible to construct a family of transformations to carry out the multi-agent systems to a Generalized Observability Canonical Form Multi-output (GOCFM). Moreover, a dynamic consensus protocol is designed such that the states of the followers asymptotically converge to the state of the leader.

Suggested Citation

  • Martínez-Guerra, Rafael & Cruz-Ancona, Christopher D. & Pérez-Pinacho, Claudia A., 2016. "Generalized multi-synchronization viewed as a multi-agent leader-following consensus problem," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 226-236.
    • Handle: RePEc:eee:apmaco:v:282:y:2016:i:c:p:226-236
    DOI: 10.1016/j.amc.2016.02.017
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    Cited by:

    1. Jin-E Zhang, 2017. "Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control," Complexity, Hindawi, vol. 2017, pages 1-10, August.
    2. Zhai, Shidong & Zhou, Yuan & Li, Qingdu, 2017. "Synchronization for coupled nonlinear systems with disturbances in input and measured output," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 227-237.
    3. Li, Hongjie & Zhu, Yinglian & jing, Liu & ying, Wang, 2018. "Consensus of second-order delayed nonlinear multi-agent systems via node-based distributed adaptive completely intermittent protocols," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 1-15.

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