Robust eigenvalue assignment by periodic feedback

Sauro Longhi; Romolo Zulli

Kybernetika (1995)

  • Volume: 31, Issue: 6, page 637-648
  • ISSN: 0023-5954

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Longhi, Sauro, and Zulli, Romolo. "Robust eigenvalue assignment by periodic feedback." Kybernetika 31.6 (1995): 637-648. <http://eudml.org/doc/28427>.

@article{Longhi1995,
author = {Longhi, Sauro, Zulli, Romolo},
journal = {Kybernetika},
keywords = {robust periodic eigenvalue assignment; time-varying; discrete-time; periodic state feedback},
language = {eng},
number = {6},
pages = {637-648},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust eigenvalue assignment by periodic feedback},
url = {http://eudml.org/doc/28427},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Longhi, Sauro
AU - Zulli, Romolo
TI - Robust eigenvalue assignment by periodic feedback
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 6
SP - 637
EP - 648
LA - eng
KW - robust periodic eigenvalue assignment; time-varying; discrete-time; periodic state feedback
UR - http://eudml.org/doc/28427
ER -

References

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  1. A. Bojanczyk G. H. Golub, P. Van Dooren, The periodic Schur decomposition, Algorithms and applications. In: Proceedings SPIE Conference 1992, Vol. 1770, pp. 31-42. (1992) 
  2. R. Byers, S. G. Nash, Approaches to robust pole assignment, Internat. J. Control 49 (1989), 1, 97-117. (1989) Zbl0666.93042MR0981718
  3. D. S. Evans, Finite-dimensional realizations of discrete-time weighting patterns, SIAM J. Appl. Math. 22 (1972), 45-67. (1972) Zbl0242.93024MR0378915
  4. J. J. Hench, A. J. Laub, An Extension of Floquet Theory to Discrete-time Periodic Systems, Research Report No. CCEC-92-0829, Electrical and Computer Engineering Department, University of California, Santa Barbara 1992. (1992) 
  5. J. J. Hench, A. J. Laub, Numerical solution of the discrete-time periodic Riccati equation, IEEE Trans. Automat. Control 39 (1994), 6, 1197-1210. (1994) Zbl0805.65063MR1283693
  6. P. T. Kabamba, Control of łinear systems using generalized sampled-data hold functions, IEEE Trans. Automat. Control 32 (1987), 9, 772-783. (1987) Zbl0627.93049MR0902487
  7. J. Kautsky N. K. Nichols, P. Van Dooren, Robust pole assignment in linear state feedback, Internat. J. Control 41 (1985), 5, 1129-1155. (1985) MR0792933
  8. J. Kautsky, N. K. Nichols, Robust pole assignment in systems subject to structured perturbations, Systems Control Lett. 15 (1990), 373-380. (1990) Zbl0729.93032MR1084578
  9. P. P. Khargonekar K. Poolla, A. Tannenbaum, Robust control of linear time-invariant plants using periodic compensation, IEEE Trans. Automat. Control 30 (1985), 11, 1088-1096. (1985) MR0810310
  10. B. De Moor, P. Van Dooren, Generalizations of the singular value and QR decomposition, SIAM J. Matrix Anal. Appl. 13 (1992), 993-1014. (1992) MR1182709
  11. G. L. Nemhauser A. H. G. Rinnooy Kan, M. J. Todd (eds.), Optimization, North Holland, pp. 53-54, Amsterdam 1989. (1989) MR1105099
  12. J. H. Wilkinson, The Ałgebraic Eigenvalue Problem, Oxford University Press, Oxford 1965. (1965) Zbl0258.65037MR0184422
  13. J. L. Willems V. Kučera, P. Brunovsky, On the assignment of invariant factors by time-varying feedback strategies, Systems Control Lett. 5 (1984), 75-80. (1984) MR0775612
  14. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, Springer, New York 1979. (1979) Zbl0424.93001MR0569358

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