Coordinated patterns of unit speed particles on a closed curve

Fumin Zhang; Naomi Ehrich Leonard

doi:10.1016/j.sysconle.2006.10.027

Coordinated patterns of unit speed particles on a closed curve

Fumin Zhang, Naomi Ehrich Leonard

Research output: Contribution to journal › Article › peer-review

127 Scopus citations

Abstract

We present methods to stabilize a class of motion patterns for unit speed particles in the plane. From their initial positions within a compact set in the plane, all particles converge to travel along a closed curve. The relative distance between each pair of particles along the curve is measured using the relative arc-length between the particles. These distances are controlled to converge to constant values.

Original language	English (US)
Pages (from-to)	397-407
Number of pages	11
Journal	Systems and Control Letters
Volume	56
Issue number	6
DOIs	https://doi.org/10.1016/j.sysconle.2006.10.027
State	Published - Jun 2007

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

Keywords

Cooperative control
Formation
Gyroscopic control
Oscillator
Pattern
Swarm
Tracking

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10.1016/j.sysconle.2006.10.027

Cite this

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title = "Coordinated patterns of unit speed particles on a closed curve",

abstract = "We present methods to stabilize a class of motion patterns for unit speed particles in the plane. From their initial positions within a compact set in the plane, all particles converge to travel along a closed curve. The relative distance between each pair of particles along the curve is measured using the relative arc-length between the particles. These distances are controlled to converge to constant values.",

keywords = "Cooperative control, Formation, Gyroscopic control, Oscillator, Pattern, Swarm, Tracking",

author = "Fumin Zhang and Leonard, \{Naomi Ehrich\}",

note = "Funding Information: The authors would like to thank Derek Paley for collaborations and discussions. This work was supported in part by ONR Grants N00014–02–1–0826 and N00014–04–1–0534. ",

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language = "English (US)",

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journal = "Systems and Control Letters",

issn = "0167-6911",

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TY - JOUR

T1 - Coordinated patterns of unit speed particles on a closed curve

AU - Zhang, Fumin

AU - Leonard, Naomi Ehrich

N1 - Funding Information: The authors would like to thank Derek Paley for collaborations and discussions. This work was supported in part by ONR Grants N00014–02–1–0826 and N00014–04–1–0534.

PY - 2007/6

Y1 - 2007/6

N2 - We present methods to stabilize a class of motion patterns for unit speed particles in the plane. From their initial positions within a compact set in the plane, all particles converge to travel along a closed curve. The relative distance between each pair of particles along the curve is measured using the relative arc-length between the particles. These distances are controlled to converge to constant values.

AB - We present methods to stabilize a class of motion patterns for unit speed particles in the plane. From their initial positions within a compact set in the plane, all particles converge to travel along a closed curve. The relative distance between each pair of particles along the curve is measured using the relative arc-length between the particles. These distances are controlled to converge to constant values.

KW - Cooperative control

KW - Formation

KW - Gyroscopic control

KW - Oscillator

KW - Pattern

KW - Swarm

KW - Tracking

UR - https://www.scopus.com/pages/publications/34047250133

UR - https://www.scopus.com/inward/citedby.url?scp=34047250133&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2006.10.027

DO - 10.1016/j.sysconle.2006.10.027

M3 - Article

AN - SCOPUS:34047250133

SN - 0167-6911

VL - 56

SP - 397

EP - 407

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 6

ER -

Coordinated patterns of unit speed particles on a closed curve

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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