Global controllability of a class of 3-dimensional affine nonlinear systems

Proceedings of the 29th Chinese Control Conference, CCC'10

Volumn , Issue , 2010, Pages 343-346

  Sun, Yimin ^a  

^a SUN YAT SEN UNIVERSITY   (China)

Author keywords

Affine nonlinearity; Global controllability; Green's formula; Three dimensional system

Indexed keywords

3-DIMENSIONAL; AFFINE NONLINEAR SYSTEMS; GLOBAL CONTROLLABILITY; GREEN'S FORMULA; NON-LINEARITY; SUFFICIENT CONDITIONS; THREE DIMENSIONAL SYSTEM; TRAJECTORY ANALYSIS;

NONLINEAR SYSTEMS; PILE FOUNDATIONS; THREE DIMENSIONAL;

CONTROLLABILITY;

EID: 78650251165     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. W. M. Wonham. Linear Multivariable Control: A Geometric Approach, Springer-Verlag,New York, 1979.
2. E. D. Sontag. Mathematical Control Theory - Deterministic Finite Dimensional Systems, Springer-Verlag,New York, 1998.
3. R. Hermann and A.J. Krener. "Nonlinear controllability and observability", IEEE Trans. Automat. Contr., 1977, 22(5): 728-740.
4. H. J. Sussmann and V. Jurdjevic. "Controllability of nonlinear systems", J. Diff. Eqns., 1972, 12(1):95-116.
5. A. Isidori. Nonlinear Control Systems, Springer-Verlag, London, third edition, 1995.
6. V. Jurdjevic. Geometric Control Theory, Cambridge University Press, New York, 1997.
7. Y. M. Sun. "Necessary and sufficient condition for global controllability of planar affine nonlinear systems", IEEE Trans. Automat. Contr., 2007, 52(8):1454-1460.
8. R. Brockett. "Beijing Lectures on Nonlinear Control Systems", in: Lei Guo and Stephen S.-T. Yau, eds., Lectures on systems, control, and information, AMS/IP studies in advanced mathematics, 2000:1-48.