Concepts of observability and strong observability for singular systems are introduced and characterized geometrically in terms of the system matrices without using the Weierstrass decomposition. Duality relations between observability and controllability and that between reachability and strong observability are established. A canonical form for the action of the output injection group on the set of observable systems is presented.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
Malabre, M., More geometry about singular systems, Rapport Interne No. 1.87, LANENSM, Nantes, 1987 (a shorter version is inProc. 26th IEEE CDC, pp. 1138–1139, Los Angeles, CA, December 1987).
Cobb, J. D., Controllability, observability, and duality in singular systems,IEEE Trans. Automat. Control, Vol. 29, No. 12, pp. 1076–1082, December 1984.
Yip, E. L., and Sincovec, E. F., Solvability, controllability, and observability of continuous descriptor systems,IEEE Trans. Automat. Control, Vol. 26, No. 3, pp. 702–707, June 1981.
Verghese, G. C., Levy, B. C., and Kailath, T., A generalized state-space for singular systems,IEEE Trans. Automat. Control, Vol. 26, No. 4, pp. 811–831, August 1981.
Rosenbrock, H. H., Structural properties of linear dynamical systems,Internat. J. Control, Vol. 20, No. 2, pp. 191–202, 1974.
Banaszuk, A., Kociecki, M, and Przykuski, K. M., Remarks on duality between observation and control for implicit linear discrete-time systems,Proc. IFAC Workshop on System Structure and Control, pp. 257–260, Prague, Czechoslovakia, September 1989.
Banaszuk, A., Kociecki, M., and Przyluski, K. M., Remarks on controllability of implicit linear discrete-time systems,Systems and Control Lett., Vol. 10, pp. 67–70, 1988.
Özçaldiran, K., and Lewis, F. L., Some generalized notions of observability,Proc. 29th CDC, pp. 3635–3639, Honolulu, HI, December 1990.
Özçaldiran, K., Control of Descriptor Systems, Ph.D. Thesis, School of Electrical Engineering, Georgia Institute of Technology, June 1985.
Özçaldiran, K., and Lewis, F. L., On the regularizability of singular systems,IEEE Trans. Automat. Control, Vol. 35, no. 10, pp. 1156–1160, October 1990.
Özçaldiran, K., A complete classification of controllable singular systems, submitted, 1989.
About this article
Cite this article
Baser, U., Özçaldiran, K. On observability of singular systems. Circuits Systems and Signal Process 11, 421–430 (1992). https://doi.org/10.1007/BF01190985
- System Matrice
- Canonical Form
- Singular System
- Duality Relation
- Injection Group