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References:
[1] A. Banaszuk M. Kociecki, K. M. Przyluski: On almost invariant subspaces for implicit linear discrete-time systems. Systems Control Lett. 11 (1988), 289-297. MR 0965276
[2] A. Banaszuk M. Kociecki, K.M. Przyluski: Implicit linear discrete-time systems. Math. Control Signals Systems 3 (1990), 271-297. MR 1052858
[3] A. Banaszuk M. Kociecki, K.M. Przyluski: Kalman-type decomposition for implicit linear discrete-time systems and its applications. Internat. J. Control 52 (1990), 1263-1271. MR 1074917
[4] D. Cobb: On the solutions of linear differential equations with singular coefficients. J. Differential Equations 46 (1982), 310-323. MR 0681226 | Zbl 0489.34006
[5] D. Cobb: A further interpretation of inconsistent initial conditions in descriptor variable systems. IEEE Trans. Automat. Control AC-28 (1983), 920-922. MR 0712957 | Zbl 0522.93037
[6] D. Cobb: Controllability, observability and duality in singular systems. IEEE Trans. Automat. Control AC-29 (1984), 920-922. MR 0771396
[7] V. Dolezal: Dynamics of Linear Systems. Academia, Prague 1967. MR 0220530 | Zbl 0173.30303
[8] H. Frankowska: On controllability and observability of implicit systems. Systems Control Lett. 14 (1990), 219-223. MR 1049356 | Zbl 0699.93003
[9] F. R. Gantmacher: The Theory of Matrices. Chelsea, New York 1959. Zbl 0085.01001
[10] T. Geerts: Free end-point linear-quadratic control subject to implicit continuous-time systems: necessary and sufficient conditions for solvability. In: Preprints of the Second IFAC Workshop on System Structure and Control, Prague 1992, pp. 28-31 MR 1264876
[11] T. Geerts: Invariant subspaces and invertibility properties of singular systems: the general case. Res. Memo. 557, Dept. of Economics, Tilburg University 1992. MR 1208197
[12] T. Geerts: Solvability conditions, consistency and weak consistency for linear differential-algebraic equations and time-invariant linear systems: the general case. Res. Memo. 558, Dept. of Economics, Tilburg University 1992.
[13] T. Geerts, V. Mehrmann: Linear differential equations with constant coefficients: A distributional approach. Preprint 09-073, Universität Bielefeld 1990.
[14] M. L. J. Hautus, L. M. Silverman: System structure and singular control. Linear Algebra Appl. 50 (1983), 369-402. MR 0699568 | Zbl 0522.93021
[15] L. Hormander: The Analysis of Linear Partial Differential Operators: Distribution Theory and Fourier Analysis. Springer-Verlag, Berlin 1983. MR 0717035
[16] K. Ozcaldiran, L. Haliloglu: Structural properties of singular systems. Part 1: Controllability. In: Preprints of the 2 IFAC Workshop on System Structure and Control, Prague 1992, pp. 344-347 MR 1264885
[17] V.-P. Peltola: Singular systems of ordinary linear differential equations with constant coefficients. Report-MAT-A221, Helsinki University of Technology 1984.
[18] K. M. Przyluski, A. Sosnowski: Remarks on implicit linear continuous-time systems. In: Preprints of the 2 IFAC Workshop on System Structure and Control, Prague 1992, pp. 328-331
[19] V. S. Vladimirov: Generalized Functions in Mathematical Physics. Mir Publishers, Moscow 1979. MR 0564116 | Zbl 0515.46034
[20] K.-T. Wong: The eigenvalue problem $\lambda Tx + Sx$. J. Differential Equations 16 (1974), 270-280. MR 0349711 | Zbl 0327.15015
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