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Networked Fractional-order Systems

  • Wei Ren
  • Yongcan Cao
Part of the Communications and Control Engineering book series (CCE)

Abstract

This chapter moves from integer-order dynamics to fractional-order dynamics motivated by real-world phenomena. We first study distributed coordination of networked fractional-order systems under a directed fixed interaction graph. We show sufficient conditions on the interaction graph and the fractional order such that coordination is achieved. The coordination equilibrium is also given explicitly. We then study distributed coordination of networked fractional-order systems under a directed switching interaction graph. The convergence conditions on both the interaction graph and the fractional order are presented. We finally propose fractional-order coordination algorithms with absolute/relative damping and study the conditions on the interaction graph and the control gains such that coordination is achieved under a directed fixed interaction graph. Simulation examples are presented as a proof of concept.

Keywords

Fractional Order Fractional Calculus Interaction Graph Jordan Block Left Eigenvector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Dept. Electrical & Computer EngineeringUtah State UniversityLogan UtahUSA

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