Second-order leader-following consensus of nonlinear multi-agent systems via pinning control

Systems and Control Letters - Tập 59 Số 9 - Trang 553-562 - 2010
Qiang Song1,2, Jinde Cao3, Wenwu Yu4,3
1School of Automation, Southeast University, Nanjing 210096, China
2School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China
3Department of Mathematics, Southeast University, Nanjing 210096, China
4Department of Electronic Engineering, City University of Hong Kong, Hong Kong

Tóm tắt

Từ khóa


Tài liệu tham khảo

Reynolds, 1987, Flocks, herds, and schools: a distributed behavioral model, Comput. Graph., 21, 25, 10.1145/37402.37406

Vicsek, 1995, Novel type of phase transition in a system of self-driven particles, Phys. Rev. Lett., 75, 1226, 10.1103/PhysRevLett.75.1226

Olfati-Saber, 2004, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automat. Control, 49, 1520, 10.1109/TAC.2004.834113

Ren, 2005, Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Trans. Automat. Control, 50, 655, 10.1109/TAC.2005.846556

Sun, 2008, Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays, Systems Control Lett., 57, 175, 10.1016/j.sysconle.2007.08.009

Lu, 2009, Consensus over directed static networks with arbitrary finite communication delays, Phys. Rev. E, 80, 066121, 10.1103/PhysRevE.80.066121

Ren, 2007, Distributed multi-vehicle coordinated control via local information exchange, Int. J. Robust Nonlinear Control, 17, 1002, 10.1002/rnc.1147

Xie, 2007, Consensus control for a class of networks of dynamic agents, Int. J. Robust Nonlinear Control, 17, 941, 10.1002/rnc.1144

Hong, 2008, Distributed observers design for leader-following control of multi-agent networks, Automatica, 44, 846, 10.1016/j.automatica.2007.07.004

Ren, 2008, On consensus algorithms for double-integrator dynamics, IEEE Trans. Automat. Control, 53, 1503, 10.1109/TAC.2008.924961

Sun, 2009, Consensus problems in networks of agents with double-integrator dynamics and time-varying delays, Int. J. Control, 82, 1937, 10.1080/00207170902838269

Tian, 2009, Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations, Automatica, 45, 1347, 10.1016/j.automatica.2009.01.009

Lin, 2009, Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies, Automatica, 45, 2154, 10.1016/j.automatica.2009.05.002

Wu, 1995, Synchronization in an array of linearly coupled dynamical systems, IEEE Trans. Circuits Syst. I, 42, 430, 10.1109/81.404047

Pecora, 1998, Master stability functions for synchronized coupled systems, Phys. Rev. Lett., 80, 2109, 10.1103/PhysRevLett.80.2109

Lu, 2006, New approach to synchronization analysis of linearly coupled ordinary differential systems, Physica D, 213, 214, 10.1016/j.physd.2005.11.009

Ren, 2008, Synchronization of coupled harmonic oscillators with local interaction, Automatica, 44, 3195, 10.1016/j.automatica.2008.05.027

Su, 2009, Synchronization of coupled harmonic oscillators in a dynamic proximity network, Automatica, 45, 2286, 10.1016/j.automatica.2009.05.026

D’Humieres, 1982, Chaotic states and routes to chaos in the forced pendulum, Phys. Rev. A, 26, 3483, 10.1103/PhysRevA.26.3483

Amster, 2008, Some results on the forced pendulum equation, Nonlinear Anal., 68, 1874, 10.1016/j.na.2007.01.018

Khalil, 2002

Yu, 2010, Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics, IEEE Trans. Syst. Man Cybern. Part B, 40, 881, 10.1109/TSMCB.2009.2031624

Chen, 2009, Reaching a consensus via pinning control, Automatica, 45, 1215, 10.1016/j.automatica.2008.12.027

Liu, 2009, Consensus problem in directed networks of multi-agents via nonlinear protocols, Phys. Lett. A, 373, 3122, 10.1016/j.physleta.2009.06.054

Ren, 2007, Multi-vehicle consensus with a time-varying reference state, Systems Control Lett., 56, 474, 10.1016/j.sysconle.2007.01.002

Wang, 2002, Pinning control of scale-free dynamical networks, Physica A, 310, 521, 10.1016/S0378-4371(02)00772-0

Li, 2004, Pinning a complex dynamical network to its equilibrium, IEEE Trans. Circuits Syst. I, 51, 2074, 10.1109/TCSI.2004.835655

Yu, 2009, On pinning synchronization of complex dynamical networks, Automatica, 45, 429, 10.1016/j.automatica.2008.07.016

Xiang, 2007, On the V-stability of complex dynamical networks, Auomatica, 43, 1049, 10.1016/j.automatica.2006.11.014

Xiang, 2009, Analysis of pinning-controlled networks: a renormalization approach, IEEE Trans. Automat. Control, 54, 1869, 10.1109/TAC.2009.2020668

Chen, 2007, Pinning complex networks by a single controller, IEEE Trans. Circuits Syst. I, 54, 1317, 10.1109/TCSI.2007.895383

Lu, 2009, Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers, IEEE Trans. Neural Netw., 20, 1617, 10.1109/TNN.2009.2027810

Xiong, 2010, Pinning synchronization of time-varying polytopic directed stochastic networks, Phys. Lett. A, 374, 439, 10.1016/j.physleta.2009.11.014

Lu, 2010, Global stabilization of complex networks with diagraph topologies via a local pinning algorithm, Automatica, 46, 116, 10.1016/j.automatica.2009.10.006

Song, 2010, On pinning synchronization of directed and undirected complex dynamical networks, IEEE Trans. Circuits Syst. I, 57, 672, 10.1109/TCSI.2009.2024971

Boyd, 1994

Wilkinson, 1965

Langville, 2004, The Kronecker product and stochastic automata networks, J. Comput. Appl. Math., 167, 429, 10.1016/j.cam.2003.10.010

Huijberts, 2007, Anticipating synchronization of chaotic Lur’e systems, Chaos, 17, 013117, 10.1063/1.2710964

Park, 2006, Dynamic behaviors in directed networks, Phys. Rev. E, 74, 026114, 10.1103/PhysRevE.74.026114