Leader-following consensus of non-linear multi-agent systems with jointly connected topology

The leader-following consensus of non-linear multi-agent systems is investigated in this study. The authors further study this problem without the assumption that the topology among followers is connected or fixed. Based on a representative general non-linear model, they address such a leader-following consensus issue from a new perspective and then obtain several basic criteria for the consensus of the non-linear multi-agent system. Simultaneously, the simplified conditions of its corresponding linear multi-agent systems for achieving consensus are derived. Finally, numerical examples are presented to verify the theoretical analysis.

[1]  Guanghui Wen,et al.  Distributed consensus of multi‐agent systems with general linear node dynamics and intermittent communications , 2014 .

[2]  Jinde Cao,et al.  A unified synchronization criterion for impulsive dynamical networks , 2010, Autom..

[3]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[4]  Richard M. Murray,et al.  Information flow and cooperative control of vehicle formations , 2004, IEEE Transactions on Automatic Control.

[5]  Long Wang,et al.  Consensus protocols for discrete-time multi-agent systems with time-varying delays , 2008, Autom..

[6]  Zhiyong Chen,et al.  No-beacon collective circular motion of jointly connected multi-agents , 2011, Autom..

[7]  Jinde Cao,et al.  Second-order leader-following consensus of nonlinear multi-agent systems via pinning control , 2010, Syst. Control. Lett..

[8]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[9]  Wenwu Yu,et al.  Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems , 2010, Autom..

[10]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2004, IEEE Trans. Autom. Control..

[11]  Brian D. O. Anderson,et al.  Reaching a Consensus in a Dynamically Changing Environment: Convergence Rates, Measurement Delays, and Asynchronous Events , 2008, SIAM J. Control. Optim..

[12]  Felipe Cucker,et al.  Emergent Behavior in Flocks , 2007, IEEE Transactions on Automatic Control.

[13]  Jinhu Lu,et al.  Consensus of discrete-time multi-agent systems with transmission nonlinearity , 2013, Autom..

[14]  Andrea L. Bertozzi,et al.  Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups , 2004, SIAM J. Appl. Math..

[15]  Guanghui Wen,et al.  Consensus Tracking of Multi-Agent Systems With Lipschitz-Type Node Dynamics and Switching Topologies , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[16]  Jürgen Kurths,et al.  Consensus over directed static networks with arbitrary finite communication delays. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Daizhan Cheng,et al.  Characterizing the synchronizability of small-world dynamical networks , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[19]  Jinde Cao,et al.  Pinning‐controlled synchronization of hybrid‐coupled complex dynamical networks with mixed time‐delays , 2012 .

[20]  Amr El Abbadi,et al.  Convergence Rates of Distributed Average Consensus With Stochastic Link Failures , 2010, IEEE Transactions on Automatic Control.

[21]  Jin Lu,et al.  A multiple Lyapunov functions approach for stability of switched systems , 2010, Proceedings of the 2010 American Control Conference.

[22]  Yingmin Jia,et al.  Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies , 2009, Autom..

[23]  Luc Moreau,et al.  Stability of multiagent systems with time-dependent communication links , 2005, IEEE Transactions on Automatic Control.

[24]  Wenwu Yu,et al.  An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination , 2012, IEEE Transactions on Industrial Informatics.

[25]  Jie Huang,et al.  Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems , 2011, IEEE Transactions on Automatic Control.

[26]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[27]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[28]  H. Pulliam,et al.  On the advantages of flocking. , 1973, Journal of theoretical biology.

[29]  Xinghuo Yu,et al.  Flocking of Multi-Agent Non-Holonomic Systems With Proximity Graphs , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[30]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

[31]  Xiaoming Hu,et al.  An Extension of LaSalle's Invariance Principle and Its Application to Multi-Agent Consensus , 2008, IEEE Transactions on Automatic Control.

[32]  Daizhan Cheng,et al.  Leader-following consensus of multi-agent systems under fixed and switching topologies , 2010, Syst. Control. Lett..

[33]  Jinde Cao,et al.  Exponential Synchronization of Hybrid Coupled Networks With Delayed Coupling , 2010, IEEE Transactions on Neural Networks.

[34]  Yingmin Jia,et al.  Consensus of a Class of Second-Order Multi-Agent Systems With Time-Delay and Jointly-Connected Topologies , 2010, IEEE Transactions on Automatic Control.

[35]  Wenwu Yu,et al.  Distributed Higher Order Consensus Protocols in Multiagent Dynamical Systems , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[36]  YangQuan Chen,et al.  High-Order Consensus Algorithms in Cooperative Vehicle Systems , 2006, 2006 IEEE International Conference on Networking, Sensing and Control.

[37]  Jinde Cao,et al.  A new protocol for finite-time consensus of detail-balanced multi-agent networks. , 2012, Chaos.

[38]  Wenwu Yu,et al.  Consensus in Directed Networks of Agents With Nonlinear Dynamics , 2011, IEEE Transactions on Automatic Control.