Title:
|
Balancing of systems with periodic jumps (English) |
Author:
|
Aripirala, Ravi |
Author:
|
Syrmos, Vassilis L. |
Language:
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English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
32 |
Issue:
|
6 |
Year:
|
1996 |
Pages:
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575-590 |
. |
Category:
|
math |
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MSC:
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93C05 |
idZBL:
|
Zbl 1043.93516 |
idMR:
|
MR1438106 |
. |
Date available:
|
2009-09-24T19:05:43Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125369 |
. |
Reference:
|
[1] B. A. Bamieh, J. B. Pearson, Jr.: A general framework for linear periodic systems with applications to $H_\infty$ sampled-data control.IEEE Trans. Automat. Control 37 (1992), 418-435. MR 1153103 |
Reference:
|
[2] T. Chen, B. A. Francis: $H_2$ Optimal sampled-data control.IEEE Trans. Automat. Control 36 (1991), 387-397. MR 1097092 |
Reference:
|
[3] K. Glover: All optimal Hankel-norm approximations of linear multivariable systems and their $L^\infty$-error bounds.Internat. J. Control 39 (1984), 1115-1193. MR 0748558 |
Reference:
|
[4] P. T. Kabamba, S. Hara: Worst-case analysis and design of sampled-data systems.IEEE Trans. on Automatic Control 38 (1993), 1337-1357. MR 1240826 |
Reference:
|
[5] C. Moler: Matlab User's Guide.The Mathworks Inc., 1980. |
Reference:
|
[6] B. C. Moore: Principle component analysis in linear systems: Controllability, observability, and model reduction.IEEE Trans. Automat. Control 26 (1981), 17-32. MR 0609248 |
Reference:
|
[7] C. T. Mullis, R. A. Roberts: Synthesis of minimum roundoff noise fixed point digital filters.IEEE Trans. Circuits and Systems 23 (1976), 551-562. Zbl 0342.93066, MR 0465491 |
Reference:
|
[8] K. M. Nagpal, P. P. Khargonekar: Filtering and smoothing in an $H_\infty$ setting.IEEE Trans. Automat. Control 36 (1991), 152-166. MR 1093089 |
Reference:
|
[9] S. Shokoohi L. M. Silverman, P. Van Dooren: Linear time-variable systems: Balancing and model reduction.IEEE Trans. Automat. Control 28 (1983), 810-822. MR 0717839 |
Reference:
|
[10] S. Shokoohi, L. M. Silverman: Model reduction of discrete time-variable systems via balancing.In: 20nd CDC, 1981, pp. 676-680. |
Reference:
|
[11] L. M. Silverman, B. D. O. Anderson: Controllability, observability and stability of linear systems.SIAM J. Control 17 (1968), 121-130. Zbl 0157.15803, MR 0233051 |
Reference:
|
[12] L. M. Silverman, H. E. Meadows: Controllability and observability in time-variable linear systems.SIAM J. Control 5 (1967), 64-73. Zbl 0163.11001, MR 0209043 |
Reference:
|
[13] W. Sun K. M. Nagpal, P. P. Khargonekar: Optimal sampler for $H_\infty$ control.In: 32nd CDC, San Antonio 1993, pp. 777-782. |
Reference:
|
[14] W. Sun K. M. Nagpal, P. P. Khargonekar: $H_\infty$ control and filtering for sampled-data systems.IEEE Trans. Automat. Control 38 (1993), 1162-1175. MR 1235247 |
Reference:
|
[15] L. Pernabo, L. M. Silverman: Model reduction via balanced state space representations.IEEE Trans. Automat. Control 27 (1982), 382-387. MR 0680103 |
Reference:
|
[16] L. Thiele: On the sensitivity of linear state-space systems.IEEE Trans. Circuits and Systems 33 (1986), 502-510. Zbl 0592.93017, MR 0841154 |
Reference:
|
[17] E. I. Verriest, T. Kailath: On generalized balanced realizations.IEEE Trans. Automat. Control 28 (1983), 833-845. Zbl 0528.93021, MR 0717841 |
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