Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control
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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.
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.
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.
引文
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[14]Wang Y and Ma Z J 2016 Neurocomputing 171 82
[15]Wang Y,Ma Z J,Zheng S and Chen G R 2017 IEEE Trans.Cybern.472203
[16]Li K Z,Yu W W and Ding Y 2015 Nonlinear Dyn.80 421
[17]Qin J H and Yu C B 2013 Automatica 48 2898
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[19]Qin J H,Ma Q C,Gao H J,Shi Y and Kang Y 2017 EEE Trans.Cybern.47 4122
[20]Wang Y,Ma Z J and Chen G R 2018 J.Frankl.Inst.355 7335
[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
[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
[29]Guan Z H,Liu Z W,Feng G and Jian M 2012 Automatica 48 1397
[30]Wu W and Chen T P 2009 Physica D 238 355
[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
[4]Schnitzler A and Gross J 2005 Nat.Rev.Neurosci.5 285
[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 2017Nat.Methods 14 483
[6]Vicsek T,Czir′ok A,Jacob E B,Cohen I and Shocher O 1995 Phys.Rev.Lett.75 1226
[7]Jadbabaie A,Lin J and Morse A S 2003 IEEE Trans.Autom.control 48988
[8]Ren W and Beard R W 2005 IEEE Trans.Autom.control 50 655
[9]Olfatisaber R,Fax J A and Murray R M 2007 Proc.IEEE 95 215
[10]Hu J P and Hong Y G 2007 Physica A 374 853
[11]Xiao F,Wang L,Chen J and Gao Y P 2009 Automatica 45 2605
[12]Feng J W,Yu F F and Zhao Y 2016 Nonlinear Dyn 85 621
[13]Mo L P,Guo S Y and Yu Y G 2018 Chin.Phys.B 27 070504
[14]Wang Y and Ma Z J 2016 Neurocomputing 171 82
[15]Wang Y,Ma Z J,Zheng S and Chen G R 2017 IEEE Trans.Cybern.472203
[16]Li K Z,Yu W W and Ding Y 2015 Nonlinear Dyn.80 421
[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
[19]Qin J H,Ma Q C,Gao H J,Shi Y and Kang Y 2017 EEE Trans.Cybern.47 4122
[20]Wang Y,Ma Z J and Chen G R 2018 J.Frankl.Inst.355 7335
[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
[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
[29]Guan Z H,Liu Z W,Feng G and Jian M 2012 Automatica 48 1397
[30]Wu W and Chen T P 2009 Physica D 238 355