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Statistical physics of loopy interactions: Independent-loop approximation and beyond
, Article Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ; Volume 92, Issue 3 , September , 2015 ; 15393755 (ISSN) ; Moghimi Araghi, S ; Sharif University of Technology
American Physical Society
2015
Abstract
We consider an interacting system of spin variables on a loopy interaction graph, identified by a tree graph and a set of loopy interactions. We start from a high-temperature expansion for loopy interactions represented by a sum of non-negative contributions from all the possible frustration-free loop configurations. We then compute the loop corrections using different approximations for the nonlocal loop interactions induced by the spin correlations in the tree graph. For distant loopy interactions, we can exploit the exponential decay of correlations in the tree interaction graph to compute loop corrections within an independent-loop approximation. Higher orders of the approximation are...
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
Analysis and Synthesis of Distributed Consensus-Based Controllers in Cooperative Systems
, Ph.D. Dissertation Sharif University of Technology ; Haeri, Mohammad (Supervisor)
Abstract
Cooperative control of autonomous multi-agent systems is one of the challenging problems in control theory. According to existing enhancements in communication networks and broad application of multi-agent systems in various engineering fields, coordinated motion control in multi-agent systems has been attracted the attention of researchers in control science. In this thesis, flocking algorithms in multi-agent systems with undirected interactions (bidirectional information flow) is considered and new convergence results and final characteristics are obtained. Also, geometric optimization methods are used to propose a new optimization problem to reduce the number of informed agents of the...