REFERENCES
- Armentano , V. A. , 1986 , The pencil sE A and controllability-observability for generalized linear systems: a geometric approach, SIAM Journal on Control and Optimization , 24 , 616 – 638 .
- Banaszuk , A. , 1989 , Analysis of implicit linear discrete-time systems. Ph.D. thesis , Department of Electrical Engineering, Warsaw University of Technology.
- Banaszuk , A. , Kociçcki , M. , and Przyluski , K. M. , 1987 , Remarks on the theory of implicit linear discrete-time systems. Proceedings of the International Symposium on Singular Systems , Atlanta , Georgia , pp. 44 – 47 ; 1988 a, Remarks on controllability of implicit linear discrete-time systems. Systems and Control Letters , 10 , 67 – 70 ; 1988 b, On almost invariant subspaces for implicit linear discrete-time systems. Ibid. , 11 , 289 – 297 ; 1988 c, Duality of various notions of observability and controllability for implicit linear discrete-time systems. Preprint 417 IM PAN (extended version submitted for publication in I.E.E.E. Transactions on Automatic Control, ) 1989 ; On Hautus-type conditions for controllability of implicit linear discrete-time systems. Circuits, Systems and Signal Processing , 8 , 289 – 298 ; 1990 a, Implicit linear discrete-time systems. Mathematics of Control,Signals and Systems , 3 , 211 – 297 (see also Preprint 397 IM PAN, 1987 ) 1990 b, The disturbance decoupling problem for implicit linear discret-time systems. SIAM Journal on Control and Optimization , 24 (5).
- Bernhard , P. , 1982 , On singular implicit linear dynamical systems. SIAM Journal on Control and Optimization , 20 , 612 – 633 .
- Fletcher , L. R. , 1986 , Regularizability of descriptor systems. International Journal of Systems Science , 17 , 843 – 847 .
- Gregory , R. T. , and Krishnamurthy, E. V., 1984 , Methods and Applications of Error-Free Computation , ( New York : Springer-Verlag ).
- Kalman , R. E. , 1962 – 1963 , Mathematical description of linear dynamical systems. , SIAM Journal on Control , Ser. A 1 , 152 – 192 .
- Lewis , F. L. , 1983 , Descriptor systems: expanded descriptor equation and Markov parameters. I.E.E.E. Transactions on Automatic Control , 28 , 623 – 627 .
- Misra , P. , and Patel , R. V. , 1989 , Computation of minimal-order realizations of generalized state space systems. Circuits, Systems and Signal Processing , 8 , 49 – 70 .
- Özçaldiran , K. , 1986 , A geometric characterization of the reachable and the controllable subspace of descriptor systems. Circuits, Systems and Signal Processing , 5 , 37 – 48 ; 1987 , Geometric notes on descriptor systems. Proceedings of the I.E.E.E. Conference on Decision and Control , ( New York : I.E.E.E. ), pp. 1134 – 1137 .
- Özçaldiran , K. , and Lewis , F. L. , 1990 , Regularizability for singular systems. I.E.E.E. Transactions on Automatic Control , 35 .
- Pandolfi , L. , 1980 , Controllability and stabilizability for linear systems of algebraic and differential equations. Journal of Optimization Theory and Applications , 30 , 601 – 620 .
- Stoer , J. , and Burlish , R. , 1983 , Introduction to Numerical Analysis , ( New York : Springer-Verlag ).
- Wolovich , W. A. , 1974 , Linear Multivariable Systems , ( New York : Springer-Verlag ).
- Wong , K. T. , 1974 , The eigenvalue problem λTx + Sx. Journal of Differential Equations , 16 , 270 – 280 .