Behavior of n Infinite Chains of Kinematic Points with the Immediate-Neighbors Interaction Dynamics

Athalye, CD and Pal, D and Pillai, HK (2020) Behavior of n Infinite Chains of Kinematic Points with the Immediate-Neighbors Interaction Dynamics. In: IEEE Transactions on Automatic Control, 65 (7). pp. 2929-2940.

PDF IEEE_TRA_AUT_CON_65_7_2929-2940_2020.pdf - Published Version Restricted to Registered users only Download (549kB) | Request a copy

Abstract

Consider n doubly infinite chains of kinematic points, where kinematic points can move in a two-dimensional plane; these kinematic points could be vehicles/drones modeled as point masses. In this paper, we analyze the behavior, under bounded perturbations, of such n infinite chains of kinematic points with respect to the immediate-neighbors interaction dynamics. We show that if the initial perturbations are bounded, then such an autonomous system converges to an equilibrium point. Furthermore, under some additional conditions, the autonomous system converges to the same equilibrium point in which it was before the perturbations. © 1963-2012 IEEE.

Item Type:	Journal Article
Publication:	IEEE Transactions on Automatic Control
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	Copy right for this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Control systems; Mathematical models, Autonomous systems; Equilibrium point; Infinite chains; Initial perturbation; Interaction dynamics; Point mass; Two dimensional plane, Kinematics
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	23 Nov 2020 11:38
Last Modified:	23 Nov 2020 11:38
URI:	http://eprints.iisc.ac.in/id/eprint/66044

Actions (login required)

View Item