Necessary and Sufficient Conditions for Group Consensus of Agents With Third-Order Dynamics in Directed Networks

Author:

Cihan Onur1,Akar Mehmet2

Affiliation:

1. Department of Electrical and Electronics Engineering, Marmara University, Istanbul 34722, Turkey

2. Department of Electrical and Electronics Engineering, Bogazici University, Istanbul 34342, Turkey

Abstract

Abstract In this paper, we investigate the group consensus problem in directed networks where agents have third-order dynamics. Necessary and sufficient conditions on the controller parameters are obtained to ensure K-equilibria group consensus where K is determined by the structure of the directed graph. It is theoretically shown that, for an arbitrary directed graph, there exist controller parameters that satisfy the given conditions. A systematic method for choosing the controller parameters to guarantee group consensus is suggested and theoretical results are verified by numerical examples.

Funder

Scientific and Technological Research Council of Turkey

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

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