Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control

doi:10.1088/1674-1056/28/5/050501

中国物理B ›› 2019, Vol. 28 ›› Issue (5): 50501-050501.doi: 10.1088/1674-1056/28/5/050501

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)

School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin 541004, China

收稿日期:2018-12-01 修回日期:2019-01-29 出版日期:2019-05-05 发布日期:2019-05-05
通讯作者: Ke-Zan Li E-mail:kezanli@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61663006 and 11661026), the Guangxi Natural Science Foundation Program, China (Grant No. 2015GXNSFBB139002), the Guangxi Key Laboratory of Cryptography and Information Security, China (Grant No. GCIS201612), and the Innovation Project of GUET Graduate Education, China (Grant No. 2018YJCX57).

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)

School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin 541004, China

Received:2018-12-01 Revised:2019-01-29 Online:2019-05-05 Published:2019-05-05
Contact: Ke-Zan Li E-mail:kezanli@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61663006 and 11661026), the Guangxi Natural Science Foundation Program, China (Grant No. 2015GXNSFBB139002), the Guangxi Key Laboratory of Cryptography and Information Security, China (Grant No. GCIS201612), and the Innovation Project of GUET Graduate Education, China (Grant No. 2018YJCX57).

摘要/Abstract

摘要： We introduce a new consensus pattern, named a successive lag cluster consensus (SLCC), which is a generalized pattern of successive lag consensus (SLC). By applying delay-dependent impulsive control, the SLCC of first-order and second-order multi-agent systems is discussed. Furthermore, based on graph theory and stability theory, some sufficient conditions for the stability of SLCC on multi-agent systems are obtained. Finally, several numerical examples are given to verify the correctness of our theoretical results.

关键词: successive lag cluster consensus, impulsive control, multi-agent systems

Abstract: We introduce a new consensus pattern, named a successive lag cluster consensus (SLCC), which is a generalized pattern of successive lag consensus (SLC). By applying delay-dependent impulsive control, the SLCC of first-order and second-order multi-agent systems is discussed. Furthermore, based on graph theory and stability theory, some sufficient conditions for the stability of SLCC on multi-agent systems are obtained. Finally, several numerical examples are given to verify the correctness of our theoretical results.

Key words: successive lag cluster consensus, impulsive control, multi-agent systems

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

89.75.-k (Complex systems) 02.30.Yy (Control theory)

邱小芬, 张银星, 李科赞. Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control[J]. 中国物理B, 2019, 28(5): 50501-050501.

Xiao-Fen Qiu(邱小芬), Yin-Xing Zhang(张银星), Ke-Zan Li(李科赞). Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control[J]. Chin. Phys. B, 2019, 28(5): 50501-050501.

参考文献 30

[1]	Paranjape A A, Chung A J, Kim K and Shim D H 2018 IEEE Trans. Robot. 34 901 doi: 10.1109/TRO.2018.2853610
[2]	Desai J P, Ostrowski J P and Kumar V 2011 IEEE Trans. Robot. Automat. 17 905
[3]	Wu Z W, Sun J S and Wang X M 2018 Chin. Phys. B 27 060202 doi: 10.1088/1674-1056/27/6/060202
[4]	Schnitzler A and Gross J 2005 Nat. Rev. Neurosci. 5 285 doi: 10.1038/nrc1587
[5]	Kiselev V Y, Kirschner K, Schaub M T, Andrews T, Yiu A, Chandra T, Natarajan K N, Reik W, Barahona M, Green A R and Hemberg M 2017 Nat. Methods 14 483 doi: 10.1038/nmeth.4236
[6]	Vicsek T, Czirók A, Jacob E B, Cohen I and Shocher O 1995 Phys. Rev. Lett. 75 1226 doi: 10.1103/PhysRevLett.75.1226
[7]	Jadbabaie A, Lin J and Morse A S 2003 IEEE Trans. Autom. control 48 988 doi: 10.1109/TAC.2003.812781
[8]	Ren W and Beard R W 2005 IEEE Trans. Autom. control 50 655 doi: 10.1109/TAC.2005.846556
[9]	Olfatisaber R, Fax J A and Murray R M 2007 Proc. IEEE 95 215 doi: 10.1109/JPROC.2006.887293
[10]	Hu J P and Hong Y G 2007 Physica A 374 853 doi: 10.1016/j.physa.2006.08.015
[11]	Xiao F, Wang L, Chen J and Gao Y P 2009 Automatica 45 2605 doi: 10.1016/j.automatica.2009.07.012
[12]	Feng J W, Yu F F and Zhao Y 2016 Nonlinear Dyn 85 621 doi: 10.1007/s11071-016-2711-7
[13]	Mo L P, Guo S Y and Yu Y G 2018 Chin. Phys. B 27 070504 doi: 10.1088/1674-1056/27/7/070504
[14]	Wang Y and Ma Z J 2016 Neurocomputing 171 82 doi: 10.1016/j.neucom.2015.06.020
[15]	Wang Y, Ma Z J, Zheng S and Chen G R 2017 IEEE Trans. Cybern. 47 2203 doi: 10.1109/TCYB.2016.2591518
[16]	Li K Z, Yu W W and Ding Y 2015 Nonlinear Dyn. 80 421 doi: 10.1007/s11071-014-1879-y
[17]	Qin J H and Yu C B 2013 Automatica 48 2898
[18]	Qin J H, Ma Q C, Zheng W X, Gao H J and Kang Y 2017 IEEE Trans. Autom. control 62 3559 doi: 10.1109/TAC.2017.2660240
[19]	Qin J H, Ma Q C, Gao H J, Shi Y and Kang Y 2017 EEE Trans. Cybern. 47 4122 doi: 10.1109/TCYB.2016.2600753
[20]	Wang Y, Ma Z J and Chen G R 2018 J. Frankl. Inst. 355 7335 doi: 10.1016/j.jfranklin.2018.07.021
[21]	Wang Y, Li Y X, Ma Z J, Cai G Y and Chen G R 2018 IEEE Trans. Syst. Man Cybern. Syst.
[22]	Lu J Q, Daniel W C H and Cao J D 2012 Automatica 46 1215
[23]	Wu J S and Jiao L C 2008 Automatica 387 2111
[24]	Boyd S, Ghaoui L E, Feron E and Balakrishnan V 1994 Linear Matrix Inequalities In System And Control Theory (Philadelphia PA: SIAM)
[25]	Zhang X J, Wei A J and Li K Z 2016 Chin. Phys. B 25 038901 doi: 10.1088/1674-1056/25/3/038901
[26]	Zhang D, Zhang Y X, Qiu X F, Zhu G H and Li K Z 2018 Acta Phys. Sin. 67 018901 (in Chinese)
[27]	Zhang Y X and Li K Z 2019 Nonlinear Dyn.
[28]	Yu W W, Chen G R and Cao M 2010 Automatica 46 1089 doi: 10.1016/j.automatica.2010.03.006
[29]	Guan Z H, Liu Z W, Feng G and Jian M 2012 Automatica 48 1397 doi: 10.1016/j.automatica.2012.05.005
[30]	Wu W and Chen T P 2009 Physica D 238 355 doi: 10.1016/j.physd.2008.10.012

Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control

Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 30

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Ximing Wang(王希铭), Jinsheng Sun(孙金生), Zhitao Li(李志韬), and Zixing Wu(吴梓杏). Memory-augmented adaptive flocking control for multi-agent systems subject to uncertain external disturbances[J]. 中国物理B, 2022, 31(2): 20203-020203.
[2]	Zhi-Hai Wu(吴治海) and Lin-Bo Xie(谢林柏). Fault-tolerant finite-time dynamical consensus of double-integrator multi-agent systems with partial agents subject to synchronous self-sensing function failure[J]. 中国物理B, 2022, 31(12): 128902-128902.
[3]	Xiaodong Liu(柳晓东) and Lipo Mo(莫立坡). Consensus problems on networks with free protocol[J]. 中国物理B, 2021, 30(7): 70701-070701.
[4]	高海云, 胡爱花, 沈莞蔷, 江正仙. Group consensus of multi-agent systems subjected to cyber-attacks[J]. 中国物理B, 2019, 28(6): 60501-060501.
[5]	莫立坡, 郭少岩, 于永光. Mean-square composite-rotating consensus of second-order systems with communication noises[J]. 中国物理B, 2018, 27(7): 70504-070504.
[6]	王金环, 许玉玲, 张建, 杨德东. Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies[J]. 中国物理B, 2018, 27(4): 40504-040504.
[7]	Erfan Shahamatkhah,Mohammad Tabatabaei. Leader-following consensus of discrete-time fractional-order multi-agent systems[J]. 中国物理B, 2018, 27(1): 10701-010701.
[8]	张翔, 王金环, 杨德东, 徐勇. Tracking consensus for nonlinear heterogeneous multi-agent systems subject to unknown disturbances via sliding mode control[J]. 中国物理B, 2017, 26(7): 70501-070501.
[9]	陈亮名, 李传江, 孙延超, 马广富. Cooperative impulsive formation control for networked uncertain Euler-Lagrange systems with communication delays[J]. 中国物理B, 2017, 26(6): 68703-068703.
[10]	任红卫, 邓飞其. Stochastic bounded consensus of second-order multi-agent systems in noisy environment[J]. 中国物理B, 2017, 26(10): 100506-100506.
[11]	吴爽爽, 吴治海, 彭力, 谢林柏. Asymptotic bounded consensus tracking of double-integratormulti-agent systems with bounded-jerk target based onsampled-data without velocity measurements[J]. 中国物理B, 2017, 26(1): 18903-018903.
[12]	曹劼, 吴治海, 彭力. Distributed event-triggered consensus tracking of second-order multi-agent systems with a virtual leader[J]. 中国物理B, 2016, 25(5): 58902-058902.
[13]	冷卉, 吴召艳. Cluster synchronization of community network with distributed time delays via impulsive control[J]. 中国物理B, 2016, 25(11): 110501-110501.
[14]	王如生, 高利新, 陈文海, 戴大蒙. Consensus for second-order multi-agent systems with position sampled data[J]. 中国物理B, 2016, 25(10): 100202-100202.
[15]	刘伟, 柳爱利, 周绍磊. Distributed H_∞ control of multi-agent systems with directed networks[J]. 中国物理B, 2015, 24(9): 90208-090208.