Consensus seeking of high-order dynamic multi-agent systems with fixed and switching topologies

References

• Cheng , D , Wang , JH and Hu , XM . 2008 . An Extension of LaSalles Invariance Principle and its Application to Multi-agent Consensus . IEEE Transactions on Automatic Control , 53 ( 7 ) : 1765 – 1770 .
   Web of Science ®Google Scholar
• Fax , JA and Murray , RM . 2004 . Information Flow and Cooperative Control of Vehicle Formations . IEEE Transactions on Automatic Control , 49 ( 9 ) : 1465 – 1476 .
   Web of Science ®Google Scholar
• Fiedler , M . 1973 . Algebraic Connectivity of Graphs . Czechoslovak Mathematics Journal , 23 : 298 – 305 .
   Web of Science ®Google Scholar
• Godsil , C and Royal , G . 2001 . Algebraic Graph Theory , New York : Springer-Verlag .
   Google Scholar
• Hale , JK . 1977 . Theory of Functional Differential Equations , New York : Springer-Verlag .
   Google Scholar
• Heymann , M and Wonham , W . 1968 . Comments: On Pole Assignment in Multi-input Controllable Linear Systems . IEEE Transactions on Automatic Control , 13 ( 6 ) : 748 – 749 .
   Web of Science ®Google Scholar
• Hong , YG , Gao , L , Cheng , DZ and Hu , JP . 2007 . Lyapunov-based Approach to Multi-agent Systems with Switching Jointly-connected Interconnection . IEEE Transactions on Automatic Control , 52 : 943 – 948 .
   Web of Science ®Google Scholar
• Horn , RA and Johnson , CR . 1985 . Matrix Analysis , New York : Cambridge University Press .
   Google Scholar
• Hu , JP and Hong , YG . 2007 . Leader-following Coordination of Multi-agent Systems with Coupling Time Delays . Physica A , 374 ( 2 ) : 853 – 863 .
   Web of Science ®Google Scholar
• Huang , L . 2003 . The Theoretical Foundation of Stability and Robustness , Beijing : Science Press . (in Chinese)
   Google Scholar
• Jadbabaie , A , Lin , J and Morse , AS . 2003 . Coordination of Groups of Mobile Autonomous Agents using Neaest Neighbor Rules . IEEE Transactions on Automatic Control , 48 : 988 – 1001 .
   Web of Science ®Google Scholar
• Kharitonov , VL . 1978 . On a Generalization of a Stability Criterion . Izvestiia Akademii nauk Kazakhskoi SSR, Seria fiziko-mathematicheskaia , 1 : 53 – 57 .
   Google Scholar
• Lafferriere , G , Williams , A , Caughman , J and Veerman , JJP . 2005 . Decentralized Control of Vehicle Formations . Systems and Control Letters , 54 ( 9 ) : 899 – 910 .
   Web of Science ®Google Scholar
• Lin , C-T . 1974 . Structural Controllability . IEEE Transactions on Automatic Control , AC-19 : 201 – 208 .
   Google Scholar
• Lin , P and Jia , YM . 2008 . Distributed Control of Multi-agent Systems with Second-order Agent Dynamics and Delay-dependent Communications . Asian Journal of Control , 10 ( 2 ) : 254 – 259 .
   Web of Science ®Google Scholar
• Moore , KL and Lucarelli , D . 2007 . Decentralized Adaptive Scheduling using Consensus Variables . International Journal of Robust and Nonlinear Control , 17 : 921 – 940 .
   Web of Science ®Google Scholar
• Olfati-Saber , R and Murray , RM . 2004 . Consensus Problems in Networks of Agents with Switching Topology and Time-delays . IEEE Transactions on Automatic Control , 49 : 1520 – 1533 .
   Web of Science ®Google Scholar
• Porfiri , M , Roberson , DG and Stilwell , DJ . 2007 . Tracking and Formation Control of Multiple Autonomous Agents: A Two-level Consensus Approach . Automatica , 43 : 1318 – 1328 .
   Web of Science ®Google Scholar
• Ren , W and Beard , RW . 2005 . Consensus Seeking in Multiagent Systems Under Dynamically Changing Interaction Topologies . IEEE Transactions on Automatic Control , 50 : 655 – 661 .
   Web of Science ®Google Scholar
• Ren , W and Atkins , E . 2007 . Distributed Multi-vehicle Coordinated Control via Local Information Exchange . International Journal of Robust and Nonlinear Control , 17 : 1002 – 1033 .
   Web of Science ®Google Scholar
• Ren , W , Moore , K and Chen , YQ . High-order Consensus Algorithms in Cooperative Vehicle Systems . Proceeding of the 2006 IEEE International Conference on Networking, Sensing and Control Conference . 2006 . pp. 457 – 462 .
   Google Scholar
• Ren , W , Moore , K and Chen , YQ . 2007 . High-order and Model Reference Consensus Algorithms in Cooperative Control of Multi-vehicle Systems . ASME Journal of Dynamic Systems, Measurement, and Control , 129 ( 5 ) : 678 – 688 .
   Web of Science ®Google Scholar
• Scutari , G , Barbarossa , S and Pescosolido , L . 2008 . Distributed Decision Through Self-synchronizing Sensor Networks in the Presence of Propagation Delays and Asymmetric Channels . IEEE Transactions on Signal Processing , 56 : 1667 – 1684 .
   Web of Science ®Google Scholar
• Sontag , ED . 1990 . Mathematical Control Theory: Deterministic Finite Dimensional Systems , New York : Springer-Verlag .
   Google Scholar
• Sun , Y , Wang , L and Xie , GM . 2008 . Average Consensus in Networks of Dynamic Agents with Switching Topologies and Multiple Time-varying Delays . Systems and Control Letters , 57 : 175 – 183 .
   Web of Science ®Google Scholar
• Tanner , H , Jadbabaie , A and Pappas , G . December 2003 . “ Stable Flocking of Mobile Agents, Part I: Fixed Topology ” . In Proceedings of 42nd IEEE Conference on Decision and control December , 2010 – 2015 . Maui, , Hawaii USA
   Google Scholar
• Vicsek , T , Czirok , A , Ben Jacob , E , Cohen , I and Schochet , O . 1995 . Novel Type of Phase Transition in a System of Self-driven Particles . Physical Review Letters , 75 : 1226 – 1229 .
   PubMed Web of Science ®Google Scholar
• Wieland , P , Kim , J , Scheu , H and Allgöwer , F . On Consensus in Multi-agent Systems with Linear High-order Agents . Proceedings of the 17th World Congress The International Federation of Automatic Control . 2008 , Seoul, Korea. pp. 1541 – 1546 .
   Google Scholar
• Xiao , F and Wang , L . 2007 . Consensus Problems for High-dimensional Multi-agent Systems . IET Control Theory and Applications , 1 ( 3 ) : 830 – 837 .
   Web of Science ®Google Scholar
• Xiao , L , Boyd , S and Lall , S . A Scheme for Asynchronous Distributed Sensor Fusion Based on Average Consensus . International Conference on Information Processing in Sensor Networks (IPSN05) . April 2005 , Los Angeles, CA. pp. 63 – 70 .
   Google Scholar
• Xie , GM and Wang , L . 2007 . Consensus Control for a Class of Networks of Dynamic Agents . International Journal of Robust and Nonlinear Control , 17 : 941 – 959 .
   Web of Science ®Google Scholar
• Xie , XK . 1963 . On Stability Problem to the First Critical Case with One Zero Root’, Special Issue on Basic Theory . Journal of Northeastern University (Natural Science) , 2 : 31 – 38 . (in Chinese)
   Google Scholar