Asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays

ABSTRACT

In this paper, asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays is studied. By using a frequency domain approach, the necessary and sufficient condition on the values of time-delay is derived to guarantee the asymptotic swarm stability under a directed/undirected interaction graph. Numerical examples are given to confirm the obtained analytical results.

KEYWORDS:

• Asymptotic swarm stability
• fractional-order swarm systems
• time-delay

Acknowledgements

This work was supported by the Research Council of Sharif University of Technology under grant G930720.

Disclosure statement

No potential conflict of interest was reported by the authors.