| Title:
|
Characteristic polynomial assignment for delay-differential systems via 2-D polynomial equations (English) |
| Author:
|
Šebek, Michael |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
23 |
| Issue:
|
5 |
| Year:
|
1987 |
| Pages:
|
345-359 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K35 |
| MSC:
|
93B20 |
| MSC:
|
93B25 |
| MSC:
|
93B55 |
| MSC:
|
93C05 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 0629.93033 |
| idMR:
|
MR915686 |
| . |
| Date available:
|
2009-09-24T18:01:21Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125877 |
| . |
| Reference:
|
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| Reference:
|
[2] C. I. Byrnes M. W. Spong, T. J. Tarn: A several complex variables approach to feedback stabilization of linear neutral delay-differential systems.Math. Systems Theory (to appear). MR 0739983 |
| Reference:
|
[3] J. N. Chiasson: Control and Regulation of Generalized Systems.Ph. D. Thesis, University of Minnesota 1984. |
| Reference:
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[4] J. N. Chiasson, E. B. Lee: Coefficient assignment by dynamic compensation for single input single output retarded delay systems.1984 CDC, Las Vegas. |
| Reference:
|
[5] J. N. Chiasson, E. B. Lee: Coefficient assignment for SISO neutral delay systems.3rd Int. Conf. Syst. Eng., Wright State Univ., Sept. 1984. |
| Reference:
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[6] E. Emre: The polynomial equation $QQ_{c} + RP_{c} = \Phi$ with application to dynamic feedback.SIAM J. Control Optim. 18 (1980), 611-620. MR 0592921 |
| Reference:
|
[7] E. Emre: Regulation of linear systems over rings by dynamic output feedback.Syst. Control Lett. 3 (1983), 57-62. Zbl 0516.93037, MR 0713428 |
| Reference:
|
[8] E. Emre, G. J. Knowles: Control of linear systems with fixed point delays.IEEE Trans. Automat. Control AC-29 (1984), 1083-1090. MR 0771397 |
| Reference:
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[9] E. Emre, P. Khargonekar: Regulation of split linear systems over rings: coefficients-assignment and observers.IEEE Trans. Automat. Control AC-27 (1982), 1, 104-113. MR 0673076 |
| Reference:
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[10] J. Ježek: New algorithm for minimal solution of linear polynomial equations.Kybernetika 18 (1982), 6, 505-515. MR 0707398 |
| Reference:
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[11] E. W. Kamen: On an algebraic theory of systems defined by convolution operators.Math. Systems Theory 9 (1975), 57-74. Zbl 0318.93003, MR 0395953 |
| Reference:
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[12] V. Kučera: Discrete Linear Control: The Polynomials Equation Approach.John Wiley, Chichester 1979. MR 0573447 |
| Reference:
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[13] V. Kučera: Design of internally proper and stable control systems.IFAC Congress 1984, Budapest. |
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[14] E. B. Lee, A. Olbrot: On reachability over polynomial rings and related genericity problem.Internat. J. Systems Sci. 13 (1982), 109-113. MR 0703067 |
| Reference:
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[15] A. Z. Manitius, A. Olbrot: Finite spectrum assignment for systems with delays.IEEE Trans. Automat. Control AC-24 (1979), 541-553. MR 0538808 |
| Reference:
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[16] A. S. Morse: Ring models for delay-differential systems.Automatica 12 (1976), 529-531. Zbl 0345.93023, MR 0437162 |
| Reference:
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[17] D. A. O'Connor, T. J. Tarn: On stabilizabilization by state feedback for neutral differential difference equations.IEEE Trans. Automat. Control AC-28 (1983), 615-618. MR 0712958 |
| Reference:
|
[18] P. N. Paraskevopoulos, O. I. Kosmidou: Eigenvalue assignment of two-dimensional systems using PID controllers.Internat. J. Systems Sci. 12 (1981), 4, 407-422. Zbl 0466.93036, MR 0613744 |
| Reference:
|
[19] M. Spong: On feedback equivalence of retarded and neutral delay-differential equations.1983 Allerton Conference. MR 0756424 |
| Reference:
|
[20] M. Šebek: 2-D polynomial equations.Kybernetika 19 (1983), 3, 212-224. MR 0716650 |
| Reference:
|
[21] M. Šebek: On 2-D pole placement. IEEE Trans.Automat. Control AC-30 (1985), 819-822. MR 0794230 |
| Reference:
|
[22] B. L. van der Waerden: Modern Algebra.4th edition. Fred. Ungar, New York 1964. |
| Reference:
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[23] K. Watanabe M. Ito M. Kaneko, T. Ouchi: Finite spectrum assignment problem for systems with delay in state variable.IEEE Trans. Automat. Control AC-27 (1983), 913-926. MR 0722204 |
| . |
