26
Views
17
CrossRef citations to date
0
Altmetric
Correspondence

Stability condition for a delay differential system

&
Pages 247-252 | Received 10 Jun 1992, Published online: 15 Mar 2007

References

  • BOESE , F. G. , 1989 , Stability conditions for the general linear difference-differential equation with constant coefficients and one constant delay. Journal of Mathematical Analysis and Applications , 140 , 136 – 176 .
  • BUSLOWICZ , M. , 1983 , Sufficient conditions for instability of delay differential systems . International Journal of Control , 37 , 1311 – 1321 ; 1985, The new sufficient conditions for instability of delay differential systems, Foundations of Control Engineering, 10, 11–23; 1987, Comments on ‘Stability test and stability conditions for delay differential systems’. International Journal of Control, 45, 745.
  • EL‘SGOL'TS , L. E. , 1966 , Introduction to the Theory of Differential Equations with Deviating Arguments ( San Francisco Holden-Day ).
  • HALE , J. K. , 1977 , Theory of Functional Differential Equations ( New York : Springer-Verlag ).
  • JURY , E. , and MANSOUR , M. , 1982 , Stability conditions for a class of delay differential systems. International Journal of Control , 35 , 689 – 699 .
  • LIU , X. Y. , and MANSOUR , M. , 1984 , Stability test and stability conditions for delay differential systems. International Journal of Control , 39 , 1229 – 1242 .
  • MACDONALD , N. , 1989 , Biological Delay Systems Linear Stability Theory , ( Cambridge , U.K. : Cambridge University Press ).
  • STÉPÁN , G. , 1989 , Retarded Dynamical Systems Stability and Characteristic Functions. Pitman Research Notes in Mathematics Series ( Harlow : Longman Scientific & Technical ).
  • WALTON , K. , and MARSHALL , J. E. , 1987 , Direct method for. TDS stability analysis . Proceedings of the Institution of Electrical Engineers , Pt D , 134/2 , 101 – 107 .

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.