On Lyapunov stability and normal forms of nonlinear systems with a nonsemisimple critical mode - Part II: Imaginary eigenvalues pair

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 47, Issue 6, 2000, Pages 850-859

  Jyun Horng, ^a  

^a LOCKHEED MARTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; PARTIAL DIFFERENTIAL EQUATIONS; SYSTEM STABILITY;

NONSEMISIMPLE IMAGINARY PAIRS (NSSIP); POINCARE NORMAL FORMS (PNF);

NONLINEAR CONTROL SYSTEMS;

EID: 0034206628     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.852938     Document Type: Article

References (6)

1. J.-H. Fu, "On stability analysis of nonlinear systems in critical cases". in preparation.
2. _, Bifurcation analysis and control of nonlinear systems with a nonsemisimple zero, in preparation.
3. G. loose and D. D. Joseph, Elementary Stability and Bifurcation Theory. New York: Springer-Verlag, 1980.
4. K. A. Landman and S. Rosenblat, "Bifurcation from a multiple eigenvalue and stability of solutions," SIAM J. Appl. Math., vol. 34, no. 4, pp. 743-759, June 1978.
5. S. D. Taliaferro, "Stability of solutions bifurcating from multiple eigenvalues," J. Functional Anal., vol. 44, pp. 24-49, 1981.
6. S. A. van Gils, M. Krupa, and W. F. Langford, "Hopf bifurcation with nonsemi-simple 1:1 resonance," Nonlinearity, vol. 3, pp. 825-850, 1990.