An extension to chaos control via Lie derivatives: Fully linearizable systems

Chaos

Volumn 12, Issue 4, 2002, Pages 1027-1033

  Femat, Ricardo ^a  

^a INSTITUTO POTOSINO DE INVESTIGACIÓN CIENTÍFICA Y TECNOLÓGICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036921038     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1510041     Document Type: Article

References (7)

1. L. Kocarev, U. Parlitzs, and B. Hu, "Lie derivatives in dynamical systems," Chaos, Solitons Fractals 9, 1359-1366 (1998).
2. A. Isidori, Nonlinear Control Systems (Springer, London, 1995).
3. P.J. Olver, Application of Lie Groups to Differential Equations (Springer, New York, 1985).
4. M.A. Henson and D.E. Seborg, "Input-output linearization of general non-linear process," AIChE J. 36, 1753-1757 (1990).
5. J. Alvarez-Ramirez, H. Puebla, and J. Solís-Daun, "An inverse system approach for chaotic communications," Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 1411-1422 (2001).
6. R. Femat, R. Jauregui-Ortiz, and G. Solís-Perales, "A chaos-based communication scheme via robust asymptotic feedback," IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 48, 1161-1169 (2001).
7. N. Jacobson, Lie Algebra (Dover, New York, 1979).