On sufficient conditions for the stability of dynamic interval systems

Karel Sladký

Kybernetika (1994)

  • Volume: 30, Issue: 5, page 525-536
  • ISSN: 0023-5954

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Sladký, Karel. "On sufficient conditions for the stability of dynamic interval systems." Kybernetika 30.5 (1994): 525-536. <http://eudml.org/doc/28287>.

@article{Sladký1994,
author = {Sladký, Karel},
journal = {Kybernetika},
keywords = {interval systems; Gershgorin's theorem; similarity transformations; stability margins},
language = {eng},
number = {5},
pages = {525-536},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On sufficient conditions for the stability of dynamic interval systems},
url = {http://eudml.org/doc/28287},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Sladký, Karel
TI - On sufficient conditions for the stability of dynamic interval systems
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 5
SP - 525
EP - 536
LA - eng
KW - interval systems; Gershgorin's theorem; similarity transformations; stability margins
UR - http://eudml.org/doc/28287
ER -

References

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  1. M. B. Argoun, On sufficient conditions for stability of interval matrices, Internat. J. Control 44 (1986), 5, 1245-1250. (1986) MR0858928
  2. J. Chen, Sufficient conditions for stability of interval matrices: connections and new results, IEEE Trans. Automat. Control AC-37 (1992), 4, 541-544. (1992) MR1153123
  3. F. R. Gantmakher, The Theory of Matrices. Volume I, II, Chelsea, New York 1959. (1959) 
  4. J. A. Heinen, Sufficient conditions for stability of interval matrices, Internat. J. Control 39 (1984), 6, 1323-1328. (1984) Zbl0539.65017MR0748563
  5. Xu Daoyi, Simple criteria for stability of interval matrices, Internat. J. Control 41 (1985), 1, 289-295. (1985) Zbl0555.93053MR0775235
  6. Y. T. Juang, C. S. Shao, Stability of dynamic interval systems, Internat. J. Control 49 (1989), 4, 1401-1408. (1989) MR0995175
  7. X.-X. Liao, J. L. Qian, Some new results for stability of interval matrices, Control Theory and Advances Technology 4 (1988), 2, 265-270. (1988) MR0952892
  8. R. K. Yedavalli, Improved measures of stability robustness for linear state space models, IEEE Trans. Automat. Control AC-30 (1985), 6, 577-579. (1985) Zbl0557.93059MR0789329
  9. R. K. Yedavalli, Perturbation bounds for robust stability in linear state space models, Internat. J. Control 42 (1985), 6, 1507-1517. (1985) Zbl0587.93046MR0818348
  10. R. K. Yedavalli, Stability analysis of interval matrices: another sufficient condition, Internat. J. Control 43 (1986), 3, 767-772. (1986) Zbl0594.65027

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