Stability analysis of social foraging swarms

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Veysel Gazi, Kevin M Passino

Abstract

In this article we specify an M-member "individual-based" continuous time swarm model with individuals that move in an n-dimensional space according to an attractant/repellent or a nutrient profile. The motion of each individual is determined by three factors: i) attraction to the other individuals on long distances; ii) repulsion from the other individuals on short distances; and iii) attraction to the more favorable regions (or repulsion from the unfavorable regions) of the attractant/repellent profile. The emergent behavior of the swarm motion is the result of a balance between inter-individual interactions and the simultaneous interactions of the swarm members with their environment. We study the stability properties of the collective behavior of the swarm for different profiles and provide conditions for collective convergence to more favorable regions of the profile.

References

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Citations

Jul 29, 2011·Proceedings of the National Academy of Sciences of the United States of America·Yael KatzIain D Couzin
Mar 10, 2010·Journal of Theoretical Biology·Xiaohai Li, Jizhong Xiao
Oct 15, 2013·IEEE Transactions on Cybernetics·Arif Bülent Özgüler, Aykut Yildiz
Sep 6, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Ziyang MengShiming Chen
Aug 23, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Zhiyong Chen, Hai-Tao Zhang
Jul 18, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Wei Li
Mar 14, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Swagatam DasD Maity
Sep 1, 2005·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Veysel Gazi, Kevin M Passino
Oct 20, 2009·Nanomedicine : Nanotechnology, Biology, and Medicine·Tad Hogg, Robert A Freitas
Sep 5, 2015·IEEE Transactions on Cybernetics·Luis Felipe Giraldo, Kevin M Passino
Jun 16, 2016·IEEE Transactions on Cybernetics· Yang CaoMichael Z Q Chen
Jan 28, 2021·Frontiers in Robotics and AI·Mario CoppolaGuido C H E de Croon
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hai-Tao ZhangTao Zhou

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