Minimum phase properties for input nonaffine nonlinear systems

IEEE Transactions on Automatic Control

Volumn 44, Issue 4, 1999, Pages 868-872

  Nesic D ^a   Skafidas, E ^a   Mareels, I M Y ^a   Evans, R J ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; SWITCHING SYSTEMS;

INPUT NONAFFINE SYSTEMS; SWITCHING CONTROL;

NONLINEAR CONTROL SYSTEMS;

EID: 0032630940     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.754836     Document Type: Article

References (11)

1. C. I. Byrnes and X. Ho, "The zero dynamics algorithm for general nonlinear system and its application in exact output tracking," J. Math. Syst. Estimat. Contr., vol. 3, pp. 51-72, 1993.
2. D. Cox, J. Little, and D. O'Shea, Ideals, Varieties and Algorithms. New York: Springer-Verlag, 1992.
3. A. F. Filippov, Differential Equations with Discontinuous Right-Hand Sides. Dordrecht, The Netherlands: Kluwer, 1988.
4. A. Isidori, Nonlinear Control Systems, 3rd ed. Berlin, Germany: Springer-Verlag, 1995.
5. H. K. Khalil, Nonlinear Systems. New York: Macmillan, 1992.
6. S. Monaco and D. Normand-Cyrot, "Zero dynamics of sampled nonlinear systems," Syst. Contr. Lett., vol. 11, pp. 229-234, 1988.
7. D. Nešić and I. M. Y. Mareels, "The definition of minimum phase discrete-time nonlinear systems revisited," in Proc. 4th ICARV, Singapore, 1996, pp. 1234-1238.
8. D. Nešić, E. Skafidas, I. M. Y. Mareels, and R. J. Evans, "Analysis of minimum phase properties for nonaffine nonlinear systems," in Proc. Conf. Decis. Contr., San Diego, CA, 1997.
9. H. Nijmeijer and A. J. van der Schaft, Nonlinear Dynamical Control Systems. New York: Springer-Verlag, 1990.
10. D. Shevitz and B. Paden, "Lyapunov stability theory of nonsmooth systems," IEEE Trans. Automat. Contr., vol. 39, pp. 1910-1914, 1994.
11. E. Skafidas, I. R. Petersen, R. J. Evans, and A. V. Savkin, "Necessary and sufficient conditions for stability via switched control," to be published.