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asymptotic-swarm-stability
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Adaptive consensus tracking for fractional-order linear time invariant swarm systems
, Article Journal of Computational and Nonlinear Dynamics ; Vol. 9, issue. 3 , 2014 ; ISSN: 15551415 ; Tavazoei, M. S ; Sharif University of Technology
Abstract
This paper presents an adaptive controller to achieve consensus tracking for the fractional-order linear time invariant swarm systems in which the matrices describing the agent dynamics and the interactive dynamics between agents are unknown. This controller consists of two parts: an adaptive stabilizer and an adaptive tracker. The adaptive stabilizer guarantees the asymptotic swarm stability of the considered swarm system. Also, the adaptive tracker enforces the system agents to track a desired trajectory while achieving consensus. Numerical simulation results are presented to show the effectiveness of the proposed controller. Copyright
Fractional-order linear time invariant swarm systems: Asymptotic swarm stability and time response analysis
, Article Central European Journal of Physics ; Volume 11, Issue 6 , October , 2013 , Pages 845-854 ; 18951082 (ISSN) ; Tavazoei, M. S ; Sharif University of Technology
2013
Abstract
This paper deals with fractional-order linear time invariant swarm systems. Necessary and sufficient conditions for asymptotic swarm stability of these systems are presented. Also, based on a time response analysis the speed of convergence in an asymptotically swarm stable fractional-order linear time invariant swarm system is investigated and compared with that of its integer-order counterpart. Numerical simulation results are presented to show the effectiveness of the paper results
Asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays
, Article International Journal of Control ; Nov , 2015 , Pages 1-10 ; 00207179 (ISSN) ; Tavazoei, M. S ; Sharif University of Technology
Taylor and Francis Ltd
2015
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
Asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays
, Article International Journal of Control ; Volume 90, Issue 6 , 2017 , Pages 1182-1191 ; 00207179 (ISSN) ; Tavazoei, M. S ; Sharif University of Technology
Taylor and Francis Ltd
2017
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. © 2015 Informa UK Limited, trading as Taylor & Francis Group