Lyapunov function proof of Poincaré's theorem

International Journal of Systems Science

Volumn 35, Issue 5, 2004, Pages 287-292

  Haddad, W M ^a   Nersesov, S G ^a   Chellaboina, V S ^b  

^a Georgia Institute of Technology   (United States)

^b UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; LYAPUNOV METHODS; SET THEORY; THEOREM PROVING;

DYNAMICAL SYSTEMS; LYAPUNOV FUNCTION PROOF; STABILITY PROPERTIES;

SYSTEM STABILITY;

EID: 3142687490     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207720410001714824     Document Type: Article

References (8)

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2. Grizzle, J. W., Abba, G. and Plestan, F., 2001, Asymptotically stable walking for biped robots: Analysis via systems with impulse effects. IEEE Transactions on Automatic Control, 46, 51-64.
3. Hale, J., 1980, Ordinary Differential Equations, 2nd edn (New York: Wiley).
4. Hartman, P., 1973, Ordinary Differential Equations (Baltimore: Hartman).
5. Khalil, H. K., 1996, Nonlinear Systems (Upper Saddle River: Prentice-Hall).
6. Leonessa, A., Haddad, W. M., and Chellaboina, V., 2000, Hierarchical Nonlinear Switching Control Design with Applications to Propulsion Systems (London: Springer).
7. Leonessa, A., Haddad, W. M., and Chellaboina, V., 2001, Nonlinear system stabilization via hierarchical switching control. IEEE Transactions on Automatic Control, 46, 17-28.
8. Poincaré, H., 1881, Mémoire sur les courbes définies par une equation différentielle. Journal Mathématiques, 7, 375-422; repr. Oeuvre (1880-1890) (Paris: