| Title:
|
2-D polynomial equations (English) |
| Author:
|
Šebek, Michael |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
19 |
| Issue:
|
3 |
| Year:
|
1983 |
| Pages:
|
212-224 |
| . |
| Category:
|
math |
| . |
| MSC:
|
12E12 |
| MSC:
|
13F20 |
| MSC:
|
26C99 |
| MSC:
|
93B25 |
| MSC:
|
93B40 |
| MSC:
|
93C35 |
| idZBL:
|
Zbl 0515.93036 |
| idMR:
|
MR716650 |
| . |
| Date available:
|
2009-09-24T17:34:13Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124913 |
| . |
| Reference:
|
[1] E. Bertini: Zum Fundamentalsatz aus der Theorie der algebraischen Funktionen.Math. Ann. 34 (1889), 447-449. MR 1510584 |
| Reference:
|
[2] N. K. Bose: Multidimensional Systems: Theory and Applications.IEEE Press, New York 1979. |
| Reference:
|
[3] R. Eising: 2-D Systems - An Algebraic Approach.Ph. D. Dissertation, Eindhoven University of Technology, Eindhoven 1979. Zbl 0426.93028, MR 0596404 |
| Reference:
|
[4] E. Emre: The polynomial equation $QQ_c + RP_c = \emptyset$ with application to dynamic feedback.SIAM J. Control Optim. 18 (1980), 6, 611-620. MR 0592921 |
| Reference:
|
[5] E. Emre, P. P. Khargonekar: Regulation of split linear systems over rings: coefficient-assignment and observers.IEEE Trans. Automat. Control AC-27 (1982), 1, 104-113. Zbl 0502.93019, MR 0673076 |
| Reference:
|
[6] T. Kailath: Linear Systems.Prentice-Hall, Englewood Cliffs 1980. Zbl 0454.93001, MR 0569473 |
| Reference:
|
[7] E. W. Kamen: A note on the representation of lumped-distributed networks, delay-differential systems and 2-D systems.IEEE Trans. Circuits and Systems CAS-27 (1980), 5, 430-432. |
| Reference:
|
[8] E. W. Kamen: Linear systems with comensurate time delays: stability and stabilization independent of delay.IEEE Trans. Automat. Control AC-27 (1982), 2, 367-375. MR 0680101 |
| Reference:
|
[9] V. Kučera: Discrete Linear Control: The Polynomial Equation Approach.Wiley, Chichester 1979. MR 0573447 |
| Reference:
|
[10] A. S. Morse: Ring models for delay-differential systems.Automatica 12 (1976), 5, 529-531. Zbl 0345.93023, MR 0437162 |
| Reference:
|
[11] M. Noether: Über einen Satz aus der Theorie der algebraischen Funktionen.Math. Ann. 6 (1873), 351-359. |
| Reference:
|
[12] A. W. Olbrot, S. H. Żak: Controllability and observability problems for linear functional-differential systems.Foundations of Control Engineering 5 (1980), 2, 79 - 89. MR 0580335 |
| Reference:
|
[13] P. N. Paraskevopoulos: Feedback design techniques for linear multivariable 2-D systems.In: Analysis and Optimization of Systems (A. Bensoussan and J. L. Lions, eds.), Springer-Verlag, Berlin-Heidelberg-New York 1980. |
| Reference:
|
[14]
: .Special issue on multidimensional systems. Proc. IEEE 65 (1977), 6. Zbl 1170.01341 |
| Reference:
|
[15] M. Šebek: 2-D Exact model matching.IEEE Trans. Automat. Control AC-28 (1983), 2, 215-217. |
| Reference:
|
[16] L. N. Volgin: The Fundamentals of the Theory of Controlling Machines.(in Russian). Soviet Radio, Moscow 1962. |
| Reference:
|
[17] B. L. van der Waerden: Modern Algebra.4th ed. (2 volumes). Frederic Ungar Publishing Co., New York 1964. |
| Reference:
|
[18] W. A. Wolovich: Linear Multivariable Systems.Springer-Verlag, New York-Heidelberg-Berlin 1974. Zbl 0291.93002, MR 0359881 |
| . |
