Remarks on the theory of implicit linear continuous-time systems
K. Maciej Przyłuski; Andrzej M. Sosnowski
Kybernetika (1994)
- Volume: 30, Issue: 5, page 507-515
- ISSN: 0023-5954
Access Full Article
topHow to cite
topPrzyłuski, K. Maciej, and Sosnowski, Andrzej M.. "Remarks on the theory of implicit linear continuous-time systems." Kybernetika 30.5 (1994): 507-515. <http://eudml.org/doc/28295>.
@article{Przyłuski1994,
author = {Przyłuski, K. Maciej, Sosnowski, Andrzej M.},
journal = {Kybernetika},
keywords = {controllability; implicit linear continuous-time systems; distributional},
language = {eng},
number = {5},
pages = {507-515},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Remarks on the theory of implicit linear continuous-time systems},
url = {http://eudml.org/doc/28295},
volume = {30},
year = {1994},
}
TY - JOUR
AU - Przyłuski, K. Maciej
AU - Sosnowski, Andrzej M.
TI - Remarks on the theory of implicit linear continuous-time systems
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 5
SP - 507
EP - 515
LA - eng
KW - controllability; implicit linear continuous-time systems; distributional
UR - http://eudml.org/doc/28295
ER -
References
top- A. Banaszuk M. Kociecki, K. M. Przyluski, On almost invariant subspaces for implicit linear discrete-time systems, Systems Control Lett. 11 (1988), 289-297. (1988) MR0965276
- A. Banaszuk M. Kociecki, K.M. Przyluski, Implicit linear discrete-time systems, Math. Control Signals Systems 3 (1990), 271-297. (1990) MR1052858
- 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. (1990) MR1074917
- D. Cobb, On the solutions of linear differential equations with singular coefficients, J. Differential Equations 46 (1982), 310-323. (1982) Zbl0489.34006MR0681226
- D. Cobb, A further interpretation of inconsistent initial conditions in descriptor variable systems, IEEE Trans. Automat. Control AC-28 (1983), 920-922. (1983) Zbl0522.93037MR0712957
- D. Cobb, Controllability, observability and duality in singular systems, IEEE Trans. Automat. Control AC-29 (1984), 920-922. (1984) MR0771396
- V. Dolezal, Dynamics of Linear Systems, Academia, Prague 1967. (1967) Zbl0173.30303MR0220530
- H. Frankowska, On controllability and observability of implicit systems, Systems Control Lett. 14 (1990), 219-223. (1990) Zbl0699.93003MR1049356
- F. R. Gantmacher, The Theory of Matrices, Chelsea, New York 1959. (1959) Zbl0085.01001
- 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 (1992) MR1264876
- T. Geerts, Invariant subspaces and invertibility properties of singular systems: the general case, Res. Memo. 557, Dept. of Economics, Tilburg University 1992. (1992) MR1208197
- 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. (1992)
- T. Geerts, V. Mehrmann, Linear differential equations with constant coefficients: A distributional approach, Preprint 09-073, Universität Bielefeld 1990. (1990)
- M. L. J. Hautus, L. M. Silverman, System structure and singular control, Linear Algebra Appl. 50 (1983), 369-402. (1983) Zbl0522.93021MR0699568
- L. Hormander, The Analysis of Linear Partial Differential Operators: Distribution Theory and Fourier Analysis, Springer-Verlag, Berlin 1983. (1983) MR0717035
- 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 (1992) MR1264885
- V.-P. Peltola, Singular systems of ordinary linear differential equations with constant coefficients, Report-MAT-A221, Helsinki University of Technology 1984. (1984)
- 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 (1992)
- V. S. Vladimirov, Generalized Functions in Mathematical Physics, Mir Publishers, Moscow 1979. (1979) Zbl0515.46034MR0564116
- K.-T. Wong, The eigenvalue problem , J. Differential Equations 16 (1974), 270-280. (1974) Zbl0327.15015MR0349711
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.