Controllability, Observability, and Duality in Singular Systems

IEEE Transactions on Automatic Control

Volumn 29, Issue 12, 1984, Pages 1076-1082

  Cobb, Daniel ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - TIME DOMAIN ANALYSIS;

IMPULSE CONTROLLABILITY AND OBSERVABILITY; INCONSISTENT INITIAL CONDITIONS; SINGULAR SYSTEMS;

CONTROL SYSTEMS, LINEAR;

EID: 0021563031     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1984.1103451     Document Type: Article

References (14)

1. S. L. Campbell, Singular Systems of Differential Equations. London: Pitman, 1980.
2. —, Singular Systems of Differential Equations II. London: Pitman, 1982.
3. D. Cobb, “Feedback and pole-placement in descriptor-variable systems,” Int. J. Contr., vol. 33, pp. 1135–1146, 1981.
4. —, “Descriptor-variable systems and optimal state regulation,” IEEE Trans. Automat. Contr., vol. AC-28, May 1983.
5. F. R. Gantmacher, The Theory of Matrices, vol. 2. New York: Chelsea, 1964.
6. R. E. Kalman, “Canonical structure of linear dynamical system,” Proc. Nat. Acad. Sci., vol. 48, pp. 596–600, 1962.
7. L. Pandolfi, “Controllability and stabilization for linear systems of algebraic and differential equations,” J. Opt. Theory Appl., vol. 30, pp. 601–620, 1980.
8. H. H. Rosenbrock, “Structural properties of linear dynamical systems,” Int. J. Contr., vol. 20, pp. 191–202, 1974.
9. —, State-Space and Multivariable Theory. New York: Nelson-Wiley, Wiley, 1973.
10. L. Schwartz, Mathematic for the Physical Sciences. Reading, MA: Addison-Wesley, 1966.
11. A. J. J. Van der Weiden and O. H. Bosgra, “The determination of structural properties of a linear multivariable system by operations of system similarity,” Int. J. Contr., vol. 32, pp. 489–537, 1980.
12. G. C. Verghese, B. C. Levy, and T. Kailath, “A generalized state-space space for singular systems,” IEEE Trans. Automat. Contr., vol. AC-26, pp. 811–831, 1981.
13. W. M. Wonham, Linear Mulivariable Control: A Geometric Approach. New York: Springer-Verlag, 1974.
14. E. L. Yip and R. F. Sincovec, “Solvability, controllability, and observability of continuous descriptor systems,” IEEE Trans. Automat. Contr., vol. AC-26, pp. 702–707, 1981.