Consensus of high-order continuous-time multi-agent systems with time-delays and switching topologies

doi:10.1088/1674-1056/20/2/020511

Abstract Consensus problems of high-order continuous-time multi-agent systems with time-delays and switching topologies are studied. The motivation of this work is to extend second-order continuous-time multi-agent systems from the literature. It is shown that consensus can be reached with arbitrarily bounded time-delays even though the communication topology might not have spanning trees. A numerical example is included to show the theoretical results.

Keywords: high-order multi-agent systems consensus dynamically changing topologies time-delays

Received: 01 July 2010
Revised: 26 August 2010
Accepted manuscript online:

PACS:	05.65.+b	(Self-organized systems)
	02.10.Yn	(Matrix theory)
	87.10.-e	(General theory and mathematical aspects)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60672029), the National Basic Research Program of China (Grant No. 2009CB320505), and the National Defense Science and Technology Foundation of State Key Laboratory of Secure Communication (Grant No. 9140C1104020903).

Cite this article:

Yang Tan(杨谈), Jin Yue-Hui(金跃辉), Wang Wei(王伟) , and Shi Ying-Jing(史莹晶) Consensus of high-order continuous-time multi-agent systems with time-delays and switching topologies 2011 Chin. Phys. B 20 020511

[1]	Fukuda Olfati-Saber R and Murray R M 2004 IEEE Trans. Automat. Control 49 1520
[2]	RenWand Breard R 2005 IEEE Trans. Automat. Control 50 655
[3]	Hong Y, Gao L, Cheng D and Hu J 2007 IEEE Trans.Automat. Control 52 943
[4]	G Xie and L Wang 2007 Int. J. Robust Nonlin. 17 941
[5]	Li Y M and Guan X P 2009 Chin. Phys. B 18 3355
[6]	Hu J and Hong Y 2007 Physica A 374 853
[7]	Xiao F and Wang L 2008 IEEE Trans. Automat. Control 53 1804
[8]	Lin P and Jia Y 2009 Automatica 45 2154
[9]	Ren W, Moore K and Chen Y 2006 Proceeding of IEEE In-ternational Conference on Networking, Sensing and Con-trol p. 457
[10]	Lin P and Jia Y 2010 IEEE Trans. Automat. Control 55 778
[11]	Lin P 2010 Ph. D. Thesis (Beijing: Beihang University)p. 69 (in Chinese)
[12]	Moreau L 2004 Proceedings of IEEE Conference on Deci-sion and Control p. 3998
[13]	Li H, Lin P and Zhang C 2009 Acta Phys. Sin. 58 158 (in Chinese)
[14]	Hu J and Yuan H 2009 Chin. Phys. B 18 3777

[1]	Fault-tolerant finite-time dynamical consensus of double-integrator multi-agent systems with partial agents subject to synchronous self-sensing function failure Zhi-Hai Wu(吴治海) and Lin-Bo Xie(谢林柏). Chin. Phys. B, 2022, 31(12): 128902.
[2]	Consensus problems on networks with free protocol Xiaodong Liu(柳晓东) and Lipo Mo(莫立坡). Chin. Phys. B, 2021, 30(7): 070701.
[3]	Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks Xia Chen(陈侠), Li-Yuan Yin(尹立远), Yong-Tai Liu(刘永泰), Hao Liu(刘皓). Chin. Phys. B, 2019, 28(9): 090701.
[4]	Group consensus of multi-agent systems subjected to cyber-attacks Hai-Yun Gao(高海云), Ai-Hua Hu(胡爱花), Wan-Qiang Shen(沈莞蔷), Zheng-Xian Jiang(江正仙). Chin. Phys. B, 2019, 28(6): 060501.
[5]	Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control Xiao-Fen Qiu(邱小芬), Yin-Xing Zhang(张银星), Ke-Zan Li(李科赞). Chin. Phys. B, 2019, 28(5): 050501.
[6]	Energy-optimal problem of multiple nonholonomic wheeled mobile robots via distributed event-triggered optimization algorithm Ying-Wen Zhang(张潆文), Jin-Huan Wang(王金环), Yong Xu(徐勇), De-Dong Yang(杨德东). Chin. Phys. B, 2019, 28(3): 030501.
[7]	H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies Muyun Fang(方木云), Cancan Zhou(周灿灿), Xin Huang(黄鑫), Xiao Li(李晓), Jianping Zhou(周建平). Chin. Phys. B, 2019, 28(1): 010703.
[8]	Mean-square composite-rotating consensus of second-order systems with communication noises Li-po Mo(莫立坡), Shao-yan Guo(郭少岩), Yong-guang Yu(于永光). Chin. Phys. B, 2018, 27(7): 070504.
[9]	Leader-following consensus of discrete-time fractional-order multi-agent systems Erfan Shahamatkhah, Mohammad Tabatabaei. Chin. Phys. B, 2018, 27(1): 010701.
[10]	Tracking consensus for nonlinear heterogeneous multi-agent systems subject to unknown disturbances via sliding mode control Xiang Zhang(张翔), Jin-Huan Wang(王金环), De-Dong Yang(杨德东), Yong Xu(徐勇). Chin. Phys. B, 2017, 26(7): 070501.
[11]	Consensus of multiple autonomous underwater vehicles with double independent Markovian switching topologies and timevarying delays Zhe-Ping Yan(严浙平), Yi-Bo Liu(刘一博), Jia-Jia Zhou(周佳加), Wei Zhang(张伟), Lu Wang(王璐). Chin. Phys. B, 2017, 26(4): 040203.
[12]	Stochastic bounded consensus of second-order multi-agent systems in noisy environment Hong-Wei Ren(任红卫), Fei-Qi Deng(邓飞其). Chin. Phys. B, 2017, 26(10): 100506.
[13]	Asymptotic bounded consensus tracking of double-integratormulti-agent systems with bounded-jerk target based onsampled-data without velocity measurements Shuang-Shuang Wu(吴爽爽), Zhi-Hai Wu(吴治海), Li Peng(彭力), Lin-Bo Xie(谢林柏). Chin. Phys. B, 2017, 26(1): 018903.
[14]	Distributed event-triggered consensus tracking of second-order multi-agent systems with a virtual leader Jie Cao(曹劼), Zhi-Hai Wu(吴治海), Li Peng(彭力). Chin. Phys. B, 2016, 25(5): 058902.
[15]	Consensus for second-order multi-agent systems with position sampled data Rusheng Wang(王如生), Lixin Gao(高利新), Wenhai Chen(陈文海), Dameng Dai(戴大蒙). Chin. Phys. B, 2016, 25(10): 100202.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Consensus of high-order continuous-time multi-agent systems with time-delays and switching topologies

Cite this article:

Online attention