Graph-theoretic characterisations of the steady states for containment control

Anhui Zhang; Jian Chen; Shijie Zhang; Xianren Kong; Feng Wang

doi:10.1080/00207179.2012.694080

Graph-theoretic characterisations of the steady states for containment control

Anhui Zhang
, Jian Chen
, Shijie Zhang^*
, Xianren Kong
, Feng Wang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

5 Scopus citations

Abstract

Containment control is a consensus-like protocol whose objective is to drive all the followers into the convex hull formed by the leaders. The steady states of the followers have great effect on system performance. Two kinds of cell partitions from graph theory are employed to investigate the reflections of the information topology on the steady states of the followers. It is proved that agents that belong to the same cell have the same steady states.

Original language	English
Pages (from-to)	1574-1580
Number of pages	7
Journal	International Journal of Control
Volume	85
Issue number	10
DOIs	https://doi.org/10.1080/00207179.2012.694080
State	Published - 1 Oct 2012

Keywords

containment control
distributed cooperative control
multiple leaders
steady state

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10.1080/00207179.2012.694080

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abstract = "Containment control is a consensus-like protocol whose objective is to drive all the followers into the convex hull formed by the leaders. The steady states of the followers have great effect on system performance. Two kinds of cell partitions from graph theory are employed to investigate the reflections of the information topology on the steady states of the followers. It is proved that agents that belong to the same cell have the same steady states.",

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AU - Zhang, Shijie

AU - Kong, Xianren

AU - Wang, Feng

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Y1 - 2012/10/1

N2 - Containment control is a consensus-like protocol whose objective is to drive all the followers into the convex hull formed by the leaders. The steady states of the followers have great effect on system performance. Two kinds of cell partitions from graph theory are employed to investigate the reflections of the information topology on the steady states of the followers. It is proved that agents that belong to the same cell have the same steady states.

AB - Containment control is a consensus-like protocol whose objective is to drive all the followers into the convex hull formed by the leaders. The steady states of the followers have great effect on system performance. Two kinds of cell partitions from graph theory are employed to investigate the reflections of the information topology on the steady states of the followers. It is proved that agents that belong to the same cell have the same steady states.

KW - containment control

KW - distributed cooperative control

KW - multiple leaders

KW - steady state

UR - https://www.scopus.com/pages/publications/84865744604

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Graph-theoretic characterisations of the steady states for containment control

Abstract

Keywords

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