Stabilizability of multi-agent systems over finite fields via fully actuated system approaches

Yunsi Yang; Jun-e Feng; Lei Jia

Kybernetika (2025)

  • Issue: 2, page 264-287
  • ISSN: 0023-5954

Abstract

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The problem of stabilizability of high-order fully actuated (HOFA) multi-agent systems over finite fields is considered in this paper. The necessary and sufficient conditions for the stabilizability of HOFA multi-agent systems are presented, which indicates the stabilizability is closely related to the interaction topology among agents. Using the full-actuation property of HOFA models, a stabilization control protocol with neighbor interaction is given for HOFA multi-agent systems. Additionally, when the multi-agent system is stabilizable, the time for the system to reach a stable state can be determined through the control protocol. Finally, the results are employed to solve the formation control problem, and some sufficient and/or necessary conditions are proposed. Numerical examples are presented to demonstrate the effectiveness of the proposed results.

How to cite

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Yang, Yunsi, Feng, Jun-e, and Jia, Lei. "Stabilizability of multi-agent systems over finite fields via fully actuated system approaches." Kybernetika (2025): 264-287. <http://eudml.org/doc/299980>.

@article{Yang2025,
abstract = {The problem of stabilizability of high-order fully actuated (HOFA) multi-agent systems over finite fields is considered in this paper. The necessary and sufficient conditions for the stabilizability of HOFA multi-agent systems are presented, which indicates the stabilizability is closely related to the interaction topology among agents. Using the full-actuation property of HOFA models, a stabilization control protocol with neighbor interaction is given for HOFA multi-agent systems. Additionally, when the multi-agent system is stabilizable, the time for the system to reach a stable state can be determined through the control protocol. Finally, the results are employed to solve the formation control problem, and some sufficient and/or necessary conditions are proposed. Numerical examples are presented to demonstrate the effectiveness of the proposed results.},
author = {Yang, Yunsi, Feng, Jun-e, Jia, Lei},
journal = {Kybernetika},
keywords = {finite fields; fully actuated system approach; stabilizability; multi-agent systems},
language = {eng},
number = {2},
pages = {264-287},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Stabilizability of multi-agent systems over finite fields via fully actuated system approaches},
url = {http://eudml.org/doc/299980},
year = {2025},
}

TY - JOUR
AU - Yang, Yunsi
AU - Feng, Jun-e
AU - Jia, Lei
TI - Stabilizability of multi-agent systems over finite fields via fully actuated system approaches
JO - Kybernetika
PY - 2025
PB - Institute of Information Theory and Automation AS CR
IS - 2
SP - 264
EP - 287
AB - The problem of stabilizability of high-order fully actuated (HOFA) multi-agent systems over finite fields is considered in this paper. The necessary and sufficient conditions for the stabilizability of HOFA multi-agent systems are presented, which indicates the stabilizability is closely related to the interaction topology among agents. Using the full-actuation property of HOFA models, a stabilization control protocol with neighbor interaction is given for HOFA multi-agent systems. Additionally, when the multi-agent system is stabilizable, the time for the system to reach a stable state can be determined through the control protocol. Finally, the results are employed to solve the formation control problem, and some sufficient and/or necessary conditions are proposed. Numerical examples are presented to demonstrate the effectiveness of the proposed results.
LA - eng
KW - finite fields; fully actuated system approach; stabilizability; multi-agent systems
UR - http://eudml.org/doc/299980
ER -

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