Journal of University of Chinese Academy of Sciences >
Stabilization of a Class of Nonlinear Systems with Third Order Center Manifold
Online published: 2004-01-10
Key words: nonlinear systems; stabilization; center manifold; normal form
Dong Ya-li , Cheng Dai-zhan . Stabilization of a Class of Nonlinear Systems with Third Order Center Manifold[J]. Journal of University of Chinese Academy of Sciences, 2004 , 21(1) : 1 -9 . DOI: 10.7523/j.issn.2095-6134.2004.1.001
[1] C I Byrnes, A Isidori.Asymptotic stabilization of minimum phase nonlinear systems.IEEE Trans.Automat.Contr., 1991, 36(10):1122-1237
[2] M Kawski.Geometric homogeneity and stabilization.In:Proc.NOLCOS.1995
[3] D Aeyels.Stabilization of a class of nonlinear system by a smooth feedback control.Sust.Contr.Lett., 1985, 5:289-294
[4] S Behtash, D Dastry.Stabilization of nonlinear systems with uncontrollable linearization.IEEE Trans.Automa.Contr., 1988, 33:585-590
[5] D Cheng.Stabilization of a class of non-linear non-minimum phase systems.Asian J.Control, 2000, 2(2):132-139
[6] D Cheng, C Martin.Stabilization of nonlinear system via designed center manifold.IEEE Trans.Automat.Control, 2001, 46(9):1372-1383
[7] D Cheng, S Spurgen.Stabilization of non-linear systems with oscillatory center.In:Proc.19th CCC Hong Kong.2001.91-96
[8] A Isidori.Nonlinear Control systems(3nd ed).New York:Springer-Verlag, 1995
[9] R Sepulchre, D Aeyels.Homogeneous Lyapunov function and necessary conditions for stabilization.Math.Control, Sigmals, Syst., 1996, 9(1):34-58
[10] H Nijmeijer, A J Van der Schaft.Nonlinear dynamical Control systems.New York:Springer-Verlag, 1990
[11] J Carr.Applications of center manifold theory.New York:Springer-Verlag, 1981
[12] J Guckenheimer, P Holmes.Nonlinear oscillations dynamical systems and bifurcations of vector fields.New York:Springer-Verlag, 1983
[13] Z Xi, D Cheng, Q Lu, S Mei.Nonlinear decentralized Control design for multimachine power system using Hamiltonian function method.A utomati ca, 2002, 38(3):527-534
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