Consensus Problem of Multi-Agent Systems with Non-linear Performance Functions

Naoki HAYASHI  Toshimitsu USHIO  Fumiko HARADA  Atsuko OHNO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E90-A   No.10   pp.2261-2264
Publication Date: 2007/10/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e90-a.10.2261
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Nonlinear Theory and its Applications)
Category: Systems Theory and Control
cooperative control,  multi-agent systems,  consensus problem,  algebraic graph theory,  

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This paper addresses a discrete-time consensus problem with non-linear performance functions over dynamically changing communication topologies. Each agent has a performance value based on its internal information state and exchanges the performance value with other agents to achieve consensus. We derive sufficient conditions for a global consensus using algebraic graph theory.