Stability of a one-dimensional discrete-time asynchronous swarm

Author

Gazi, Veysel ; Passino, Kevin M.

Author_Institution

Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA

fYear

2001

fDate

2001

Firstpage

19

Lastpage

24

Abstract

In this article we consider a discrete time one-dimensional asynchronous swarm. First, we describe the mathematical model for motions of the swarm members. Then, we analyze the stability properties of that model. The stability concept that we consider, which matches exactly with stability of equilibria in control theory, characterizes stability of a particular position (relative arrangement) of the swarm members, that we call the comfortable position (with comfortable intermember distance). Our stability analysis employs some results on contractive mappings from the parallel and distributed computation literature

Keywords

discrete time systems; distributed parameter systems; interconnected systems; parallel processing; stability; 1D discrete-time asynchronous swarm stability; comfortable intermember distance; comfortable position; distributed computation; parallel computation; swarm member motions model; Biological system modeling; Biology computing; Concurrent computing; Control theory; Delay effects; Distributed computing; Mathematical model; Mobile robots; Remotely operated vehicles; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control, 2001. (ISIC '01). Proceedings of the 2001 IEEE International Symposium on

Conference_Location

Mexico City

ISSN

2158-9860

Print_ISBN

0-7803-6722-7

Type

conf

DOI

10.1109/ISIC.2001.971478

Filename

971478