Conditions for C-controllability and C-observability of rectangular descriptor systems

Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

Volumn 1, Issue , 2006, Pages 628-630

  Chen, Yan ^a   Duan, Guangren ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

C controllability; C observability; Rectangular descriptor systems; The generalized inverse form

Indexed keywords

CONTROLLABILITY; INVERSE PROBLEMS;

C-CONTROLLABILITY; C-OBSERVABILITY; RECTANGULAR DESCRIPTOR SYSTEMS;

CONTROL SYSTEM ANALYSIS;

EID: 34047237400     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/WCICA.2006.1712417     Document Type: Conference Paper

References (15)

1. R. W. Newoomb and B. Dziurla, "Some circuits and systems applications of semistate theory," Circuits Syst. Sig. Proc., vol. 8, pp. 235-260, 1989.
2. B. L. Stevens and F. L. Lewis, Aircraft Modeling, Dynamics and Control, New York: Wiley, 1991.
3. B. L. Stevens, "Derivation of Aircraft Linear State Equations from Implicit Nonlinear Equations," In Proceedings of the 29th Conference on Decision and Control, December 1990, Hawaii, USA, pp.465-469.
4. Yun Zou, Ming-Hui Yin and Hsiao-Dong Chiang, "Theoretical Foundation of the Controlling UEP Method for Direct Transient-Stability Analysis of Network-Preserving Power System Models," IEEE Transactions on Circuits and System, vol. 50, pp. 1324-1336, 2003.
5. S. L. Campbell, Singular Systems of Equations, Research Notes in Mathematics. New York: Pitman, 1980.
6. E. L. Yip and R. F. Sincover, "Solvability, Controllability and Observability of Continuous Descriptor Systems," IEEE Transactions on Automatic Control, vol. 26, pp. 702-706, 1981.
7. L. Dai, Singular Control Systems, Lecture Notes in Control and Information Sciences, Springer-Verlag, Berlin, 1989.
8. G. R. Duan, Analysis and Design of Descriptor Linear Systems, to appear in the Series of Advances in Design and Control, SIAM.
9. Z. Zhou, M. A. Shaymann and T. J. Tarn., "Singular systems: A New Approach in the Time Domain." IEEE Transactions on Automatic Control, vol. 32, pp. 42-50, 1987.
10. G. R. Duan and Y. Chen, "Generalized Regularity and Regularizabilily of Rectangular Descriptor Systems", Journal of Control Theory and Application, To appear.
11. L. Dai, "The Difference Between Regularity and Irregularity in Singular Systems," Circuits Syst. Sig. Proc., vol. 8, pp. 435-444, 1989.
12. M. Hou and P. C. Müller, "Causal Observability of Descriptor Systems," IEEE Transactions on Automatic Control, vol. 44, pp. 158-163, January 1999.
13. J.Y. Ishihara and M.H. Terra, "Impulse controllability and observability of rectangular descriptor systems," IEEE Transactions on Automatic Control, vol. 46, pp. 991-994, June 2001.
14. M. Hou, "Controllability and Elimination of Impulsive Modes in Descriptor Systems," IEEE Transactions on Automatic Control, vol. 49, pp. 1723-1727, Oct. 2004.
15. T. Geerts, "Solvability Conditions, Consistency, and Weak Consistency for Linear Differential-Algebraic Equations and Time-Invariant Singular Systems: The General Case," Linear Alg. Appl., vol. 181, pp. 111-130, 1993.