Article
Synchronization of networks of nonidentical euler-lagrange systems with uncertain parameters and communication delays
Fecha
2009Autor
Solis-Perales, G.
Ruiz-Velazquez, E.
Valle-Rodriguez, D.
Institución
Resumen
We present an approach to the chaos synchronization of complex networks with distinct nodes. The chaotic synchronization is achieved by adding a derivative coupling term in the network equation. We assume that node in networks are different and are given by the Lorenz, Rossler, Chen and Sprott chaotic systems. The derivative term is capable to induce the synchronous behavior in the network. Moreover such a coupling leads the global behavior to a chaotic attractor. We found that without derivative coupling the network is leaded only to an equilibrium point or a limit cycle. Numerical simulations are provided to illustrate the result. Complementary the network synchrony can be chaotic in presence of the derivative coupling. " 2008 Elsevier B.V. All rights reserved.",,,,,,"10.1016/j.cnsns.2008.09.019",,,"http://hdl.handle.net/20.500.12104/44900","http://www.scopus.com/inward/record.url?eid=2-s2.0-58749103483&partnerID=40&md5=835cbaa31ed199ff7e1da55ac9447b3b",,,,,,"6",,"Communications in Nonlinear Science and Numerical Simulation",,"2528 2535",,"14",,"Scopus WOS",,,,,,"Chaos; Complex networks; Synchronization",,,,,,"Synchronization in complex networks with distinct chaotic nodes",,"Article"
"46676","123456789/35008",,"Von Mohlen, C.A., PUC School of Medicine, Porto Alegre, Brazil; Chan, E., WM Keck Autoimmune Disease Center, Department of Molecular Medicine, Scripps Research Institute, 10550 North Torrey Pines Road, San Diego, CA 92037, United States; Angles-Cano, E., INSERM U. 143, Hospital de Bicêtre, Paris, France; Mamula, M.J., Yale University, School of Medicine, Section of Rheumatology, New Haven, CT, United States; García-De La Torre, I., Department of Immunology, Hospital General de Occidente, University of Guadalajara, Guadalajhara, Mexico; Fritzler, M.J., Faculty of Medicine, 3330 Hospital Dr. NW, Calgary, AB, Canada, Faculty of Medicine, 3330 Hospital Dr. NW, Calgary, AB T2N 4N1, Canada",,"Von Muhlen, C.A. Chan, E. Angles-Cano, E. Mamula, M.J. García-De La Torre, I. Fritzler, M.J.",,"1998",,"[No abstract available]",,,,,,,,,"http://hdl.handle.net/20.500.12104/44897","http://www.scopus.com/inward/record.url?eid=2-s2.0-0032252727&partnerID=40&md5=f654926ee74ef6f4c06efa747606cd06",,,,,,"8",,"Lupus",,"507 514",,"7",,"Scopus",,,,,,,,,,,,"Symposium: Advances in autoantibodies in SLE",,"Conference Paper"
"46687","123456789/35008",,"Nuño, E., Department of Computer Science, University of Guadalajara, Guadalajara 44430, Mexico; Ortega, R., Laboratoire des Signaux et Systèmes, SUPELEC, Gif-sur-Yvette 91192, France; Basañez, L., Institute of Industrial and Control Engineering, Technical University of Catalonia, Barcelona 08028, Spain; Hill, D., School of Electrical and Information Engineering, University of Sydney, NSW 2006, Australia",,"Nuno, E. Ortega, R. Basanez, L. Hill, D.",,"2011",,"This paper addresses the problem of synchronizing networks of nonidentical, nonlinear dynamical systems described by Euler-Lagrange equations, which are assumed fully-actuated, with their states available for measurement, but with unknown parameters. The only assumption made on the communication graph is that it is connected. Moreover, the communication is subject to constant time delays, which are also unknown. The main result of the paper is the construction of an adaptive controller that achieves global full-state synchronization, i.e., the difference between the agents positions and velocities asymptotically converges to zero. If a desired trajectory for all systems is given, a slight modification to the proposed scheme achieves also full-state synchronization. Simulations using a ten robot manipulator network are used to illustrate the performance of the proposed schemes. " 2006 IEEE.