55
Views
28
CrossRef citations to date
0
Altmetric
Original Articles

Robust stability of time-delay systems with an uncertain time-delay constant

&
Pages 865-879 | Received 05 Dec 1991, Published online: 30 Jun 2010

REFERENCES

  • BARMISH , B. R. , 1989 , A generalization of Kharitonov's four polynomial concept for robust stability problems with linearly dependent coefficient perturbations . IEEE Transactions on Automatic Control , 34 , 157 – 165 .
  • BARMISH , B. R. , and SHI , Z. H. , 1989 , Robust stability of perturbed systems with time-delays . Automatica , 25 , 321 – 381 .
  • BARTLETT , A. C. , 1990 , Nyquist, Bode and Nichols plots of uncertain systems . Proceedings of the 1990 American Control Conference , San Diego , California , U.S.A .
  • BARTLETT , A. C. , HOLLOT , C. V. , and LIN , H. , 1988 , Root locations of an entire polytope of polynomials it suffices to check the edges . Mathematics of Control, Signals and Systems , 1 , 61 – 71 .
  • BOESE , F. G. , 1991 , Complicated stability charts for difference-differential equations with constant coefficients and one constant delay . Zeitschrift fiir Angewandte Mathematik und Mechanik , 71 , 147 – 150 .
  • FU , M. , 1990 , Computing the frequency response of linear systems with parametric perturbation . Systems and Control Letters , 15 , 45 – 52 .
  • FU , M. , and BARMISH , B. R. , 1989 , Polytopes of polynomials with zeros in a prescribed set . IEEE Transactions on Automatic Control , 34 , 544 – 546 .
  • FU , M. , OLBROT , A. W. , and Pons , M. P. , 1989 , Robust stability for time-delay systems the edge theorem and graphical tests . IEEE Transactions on Automatic Control , 34 , 813 – 820 .
  • KHARITONOV , V. L. , 1991 , Interval stability of quasipolynomials . Proceedings of the International Workshop on Robust Control , San Antonio , Texas , U.S.A .
  • MALEK-ZAVAREI , M. , and JAMSHIDI , M. , 1987 , Time-delay Systems Analysis Optimization and Applications , North-Holland Systems and Control Series , Vol. 9 ( Amsterdam , the Netherlands Elsevier ) .
  • MORI , T. , and KOKAME , H. , 1987 , An extension of Kharitonov's theorem and its application . Proceedings of the 1987 American Control Conference , Minneapolis , Minnesota , U.S.A .
  • POLYAK , B. T. , and TSYPKIN , Y. Z. , 1992 , Robust Nyquist criteria . Avtom. i Telemekh , No. 7 , 25 – 31 . Translated in 1992, Automation and Remote Control, 53(7) .
  • TSYPKIN , Y. Z. , 1946 , The systems with delayed feedback . Automatica i Telemechanica , 7 , 107 – 129 (in Russian). Translation McFarlane A. G. J., (editor), 1979, Frequency Response Methods in Control Systems (New York IEEE Press/Wiley), pp. 45-46 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.