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Containment Control of Multi-agent Systems with Time-delays over Heterogeneous Networks

  • Control Theory and Applications
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Abstract

Containment control problems for second-order multi-agent systems with fixed communication time-delays under heterogeneous networks topologies are investigated. Based on Lyapunov-Krasovskii functional method and the linear matrix inequality (LMI) method, sufficient conditions on the communication digraph, the feedback gains, and the allowed upper bound of the time-delays to ensure containment control of the multi-agent systems using the different containment control algorithms are given. Finally, numerical simulations are presented to demonstrate theoretical results.

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Author information

Authors and Affiliations

  1. School of Information and Electrical Engineering, Ludong University, Yantai, 264025, China

    Bo Li & Hong-yong Yang

  2. College of Computer and Control Engineering, Nankai University, Tianjin, 300071, China

    Zeng-qiang Chen & Zhong-xin Liu

Authors
  1. Bo Li
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  2. Hong-yong Yang
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  3. Zeng-qiang Chen
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  4. Zhong-xin Liu
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Corresponding author

Correspondence to Bo Li.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Choon KI Ahn under the direction of Editor PooGyeon Park. This work is supported by the National Natural Science Foundation of China (Nos. 61673200, 61573199, 61573200), Doctoral Scientific Research Foundation of Ludong University (Nos. LB2017029).

Bo Li received his B.S. degree in computer application, M.S. degree in computer system structure from the Shandong University, Jinan, China, in 1994 and 2006, respectively. He re]his Ph.D. degree in Control Theory and Control Engineering from Nankai University, Tianjin, China. He has been at Ludong University. His main areas of research are in containment control of multi-agents system.

Hong-yong Yang received his Ph.D. degree in Control Theory and Control Engineering from Southeast University in 2005. He is a professor in School of Information and Electrical Engineering, Ludong University. His research interest covers complex network, multi-agent systems, intelligence control.

Zeng-qiang Chen received his B.S. degree in mathematics, M.S. and Ph.D. degrees in control theory and control engineering from the Nankai University, Tianjin, China, in 1987, 1990, and 1997, respectively. He has been at Nankai University, where he is currently a professor in the Department of Automation. His main areas of research are in neural network control, complex networks and multi-agents system.

Zhong-xin Liu received his B.S. degree in Automation and Ph.D. degree in control theory and control engineering from the Nankai University, Tianjin, China, in 1997 and 2002, respectively. He has been at Nankai University, where he is currently a professor in the Department of Automation. His main areas of research are in predictive control, complex networks and multi-agents system.

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Li, B., Yang, Hy., Chen, Zq. et al. Containment Control of Multi-agent Systems with Time-delays over Heterogeneous Networks. Int. J. Control Autom. Syst. 17, 2521–2530 (2019). https://doi.org/10.1007/s12555-018-0755-9

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  • DOI: https://doi.org/10.1007/s12555-018-0755-9

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