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Pinning Consensus Analysis for Nonlinear Second‐Order Multi‐Agent Systems with Time‐Varying Delays
Author(s) -
Zhang Dandan,
Song Qiang,
Liu Yang,
Cao Jinde
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1731
Subject(s) - algebraic graph theory , multi agent system , nonlinear system , consensus , network topology , graph theory , weighting , control theory (sociology) , matrix (chemical analysis) , order (exchange) , mathematical optimization , computer science , mathematics , topology (electrical circuits) , control (management) , artificial intelligence , medicine , physics , materials science , finance , quantum mechanics , combinatorics , economics , composite material , radiology , operating system
This paper considers the second‐order leader‐following consensus problem for adelayed multi‐agent systems under general network topologies, in which each agent is a time‐delayed second‐order system with inherent nonlinear dynamics. Based on the pinning control strategy, a distributed control algorithm is proposed to achieve the second‐order leader‐following consensus of multi‐agent systems. Using matrix theory, algebraic graph theory and the free‐weighting‐matrix approach, some sufficient conditions are established in terms of linear matrix inequalities to ensure that all the agents can asymptotically follow the virtual leader. Finally, the effectiveness and the advantages of the developed approach are illustrated by means of simulations.