Journal
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
Volume 49, Issue 10, Pages 1961-1970Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2018.2883108
Keywords
Augmented vectors; delays; global consensus; Lyapunov-Krasovskii functional (LKF); multiagent systems
Funding
- National Natural Science Foundation of China [61573130]
- Innovation Scientists and Technicians Troop Construction Projects of Henan Polytechnic University [T2017-1, CXTD2016054]
- Henan Province [T2017-1, CXTD2016054]
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This paper investigates the global consensus of multiagent systems with internal delays, communication delays, and directed topology. By defining a weighted average state of agents, the considered network is decoupled into several subsystems, then the consensus of the considered systems can be guaranteed by the asymptotic stability of several low dimensional linear delayed systems. Furthermore, new Lyapunov-Krasovskii functional is constructed by introducing multi-integral terms and new augmented vectors, and extended relaxed integral inequality combining Wirtinger integral inequality with convex combination approach is also employed to tackle with the derivatives of the functional. As a result, the less conservative stability criterion is derived, which guarantees the global consensus of the considered multiagent systems. Several numerical examples are provided to show the effectiveness of the proposed methods.
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