Controllability and observability of linear time-varying singular systems

IEEE Transactions on Automatic Control

Volumn 44, Issue 10, 1999, Pages 1901-1905

  Wang, Chi Jo ^a  

^a SOUTHERN TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONTROLLABILITY; LINEAR CONTROL SYSTEMS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; OBSERVABILITY; PROBLEM SOLVING; TIME VARYING CONTROL SYSTEMS; TRANSFER FUNCTIONS;

IMPULSIVE ZERO INPUT RESPONSE; INVERTIBLE MATRIX FUNCTIONS; LINEAR TIME VARYING SINGULAR SYSTEMS;

CONTROL SYSTEM ANALYSIS;

EID: 0033352745     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.793733     Document Type: Article

References (15)

1. R. Byers, P. Kunkel, and V. Mehrmann, "Regularization of linear descriptor systems with variable coefficients," SIAM J. Contr. Optim., vol. 35, pp. 117-133, 1997.
2. S. L. Campbell and L. R. Petzold, "Canonical forms and solvable singular systems of differential equations," SIAM J. Alg. Disc. Methods, vol. 4, pp. 517-521, 1983.
3. S. L. Campbell, "A general form for solvable linear time varying singular systems of differential equations," SIAM J. Math. Anal., vol. 18, pp. 1101-1115, 1987.
4. S. L. Campbell and W. J. Terrell, "Observability of linear time varying descriptor systems," SIAM J. Matrix Anal. Applicat., vol. 12, pp. 484-496, 1991.
5. S. L. Campbell, N. K. Nichols, and W. J. Terrell, "Duality, observability and controllability for linear time-varying descriptor systems," Circuits, Syst. Signal Process., vol. 10, pp. 455-470, 1991.
6. C. T. Chen, Linear System Theory and Design. New York: Oxford Univ. Press, 1984.
7. J. D. Cobb, "Controllability, observability, and duality in singular systems," IEEE Trans. Automat. Contr., vol. AC-29, pp. 1076-1082, 1984.
8. I. M. Gelf́and and G. E. Shilov, Generalized Functions, vol. I. New York: Academic, 1964.
9. P. J. Rabier and W. C. Rheinbolt, "Classical and generalized solutions of time-dependent linear differential-algebraic equations," Linear Algebra Applicat., vol. 245, pp. 259-293, 1996.
10. _, "Time-dependent linear DAE's with discontinuous inputs," Linear Algebra Applicat., vol. 247, pp. 1-29, 1996.
11. W. Rath, "Derivative and proportional state feedback for linear descriptor systems with variable coefficients," Linear Algebra Applicat., vol. 260, pp. 273-310, 1997.
12. W. J. Terrell, "The output-nulling space, projected dynamics, and system decomposition for linear time-varying singular systems," SIAM J. Contr. Optim., vol. 32, pp. 876-889, 1994.
13. G. C. Verghese, B. C. Levy, and T. Kailath, "A generalized state-space for singular systems," IEEE Trans. Automat. Contr., vol. AC-26, pp. 811-831, 1981.
14. C.-J. Wang, "Stability and control of singular time varying systems," Ph.D. dissertation, Dept. Elec. Compu. Eng., Univ. Wisconsin-Madison, 1994.
15. _, "State feedback impulse elimination of linear time-varying singular systems," Automatica, vol. 32, pp. 133-136, 1996.