期刊
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
卷 8, 期 1, 页码 111-122出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCNS.2020.3035766
关键词
Coupled harmonic oscillators; impulsive control; impulsive interval; Schur stability analysis; signed graph
资金
- National Science Foundation of China [61973177, 62073079, 61873013, 61922007, 61973133]
- Six Talent Peaks of Jiangsu Province [2019-DZXX-006]
- Programme of Henan Innovative Research Team of Cooperative Control in Swarm-based Robotics
- Huanghuai University
- Zhumadian industrial innovation and development research major project [2020ZDA06]
- Research Foundation for Advanced Talents of Henan University of Technology [31401548]
This article investigates the distributed impulsive control problem for a signed network composed of coupled harmonic oscillators based on relative position data. A impulsive control algorithm and convergence condition are proposed, along with discussions on additional control algorithms and simulation examples.
This article considers the distributed impulsive control problem for a signed network composed by coupled harmonic oscillators based on relative position data, where the topology graph can be either structurally balanced or unbalanced, consisting of positive and negative links. First, an impulsive control algorithm is proposed for the network by utilizing both current and previous sampled positions. A necessary and sufficient condition is established such that the impulsive-controlled network can exhibit convergent behaviors, including bipartite synchronization, interval bipartite synchronization, and global stabilization. Second, some discussions are further provided to analyze two additional impulsive control algorithms designed with either current or previous sampled positions, in which it is shown that the former algorithm cannot lead to the convergent behaviors of the network, while the latter algorithm can solve the distributed impulsive control problem of the network under some appropriate conditions. Finally, simulation examples are given to illustrate the theoretical analysis.
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