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Global attractiveness and consensus for Riemann–Liouville’s nonlinear fractional systems with mixed time-delays

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  • Liu, Song
  • Yang, Ran
  • Li, Xiaoyan
  • Xiao, Jian

Abstract

This article deals with attractiveness and consensus for Riemann–Liouville’s nonlinear fractional systems with mixed time-delays (RL-NFSMDs). A reliable and simple method is adopted to achieve global attractiveness in terms of traditional Lyapunov direct approach, properties of fractional calculus and analytical technique. As a straightforward application of our proposed method, global consensus analysis for RL fractional multiple agent systems is considered and several algebraic criteria are presented by means of graph theory. The method permits one to calculate first-order derivative for the corresponding Lyapunov function and may deal with well the trouble brought from fractional derivatives and time-delays. Finally, illustrative examples are given to further clarify the reliability and validity of our results.

Suggested Citation

  • Liu, Song & Yang, Ran & Li, Xiaoyan & Xiao, Jian, 2021. "Global attractiveness and consensus for Riemann–Liouville’s nonlinear fractional systems with mixed time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309681
    DOI: 10.1016/j.chaos.2020.110577
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    References listed on IDEAS

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