| Title:
|
Remarks on the theory of implicit linear continuous-time systems (English) |
| Author:
|
Przyłuski, K. Maciej |
| Author:
|
Sosnowski, Andrzej |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
30 |
| Issue:
|
5 |
| Year:
|
1994 |
| Pages:
|
507-515 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34H05 |
| MSC:
|
93B05 |
| MSC:
|
93C05 |
| MSC:
|
93C35 |
| MSC:
|
93C99 |
| idZBL:
|
Zbl 0833.93031 |
| idMR:
|
MR1314346 |
| . |
| Date available:
|
2009-09-24T18:50:08Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125140 |
| . |
| Reference:
|
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| Reference:
|
[2] A. Banaszuk M. Kociecki, K.M. Przyluski: Implicit linear discrete-time systems.Math. Control Signals Systems 3 (1990), 271-297. MR 1052858 |
| Reference:
|
[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 |
| Reference:
|
[4] D. Cobb: On the solutions of linear differential equations with singular coefficients.J. Differential Equations 46 (1982), 310-323. Zbl 0489.34006, MR 0681226 |
| Reference:
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[5] D. Cobb: A further interpretation of inconsistent initial conditions in descriptor variable systems.IEEE Trans. Automat. Control AC-28 (1983), 920-922. Zbl 0522.93037, MR 0712957 |
| Reference:
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[6] D. Cobb: Controllability, observability and duality in singular systems.IEEE Trans. Automat. Control AC-29 (1984), 920-922. MR 0771396 |
| Reference:
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[7] V. Dolezal: Dynamics of Linear Systems.Academia, Prague 1967. Zbl 0173.30303, MR 0220530 |
| Reference:
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[8] H. Frankowska: On controllability and observability of implicit systems.Systems Control Lett. 14 (1990), 219-223. Zbl 0699.93003, MR 1049356 |
| Reference:
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[9] F. R. Gantmacher: The Theory of Matrices.Chelsea, New York 1959. Zbl 0085.01001 |
| Reference:
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[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 |
| Reference:
|
[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 |
| Reference:
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[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. |
| Reference:
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[13] T. Geerts, V. Mehrmann: Linear differential equations with constant coefficients: A distributional approach.Preprint 09-073, Universität Bielefeld 1990. |
| Reference:
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[14] M. L. J. Hautus, L. M. Silverman: System structure and singular control.Linear Algebra Appl. 50 (1983), 369-402. Zbl 0522.93021, MR 0699568 |
| Reference:
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[15] L. Hormander: The Analysis of Linear Partial Differential Operators: Distribution Theory and Fourier Analysis.Springer-Verlag, Berlin 1983. MR 0717035 |
| Reference:
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[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 |
| Reference:
|
[17] V.-P. Peltola: Singular systems of ordinary linear differential equations with constant coefficients.Report-MAT-A221, Helsinki University of Technology 1984. |
| Reference:
|
[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 |
| Reference:
|
[19] V. S. Vladimirov: Generalized Functions in Mathematical Physics.Mir Publishers, Moscow 1979. Zbl 0515.46034, MR 0564116 |
| Reference:
|
[20] K.-T. Wong: The eigenvalue problem $\lambda Tx + Sx$.J. Differential Equations 16 (1974), 270-280. Zbl 0327.15015, MR 0349711 |
| . |
