Paper Info
Title
Behavior of ${n}$ Infinite Chains of Kinematic Points with the Immediate-Neighbors Interaction Dynamics
Abstract
Consider <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$n$</tex-math></inline-formula> 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 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$n$</tex-math></inline-formula> 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.
Year
DOI
Venue
2020
10.1109/TAC.2019.2936409
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Kinematics,Perturbation methods,Autonomous systems,Stability criteria,Vehicle dynamics,Indexes
Journal
65
Issue
ISSN
Citations 
7
0018-9286
1
PageRank 
References 
Authors
0.39
3
3
Name
Order
Citations
PageRank
Chirayu D. Athalye162.45
Debasattam Pal22812.84
Harish K. Pillai39020.79