98
Views
57
CrossRef citations to date
0
Altmetric
Original Articles

Technical note Simple criteria for stability of neutral systems with multiple delays

&
Pages 1325-1328 | Received 25 Feb 1997, Accepted 23 Apr 1997, Published online: 06 Apr 2007

References

  • ARUNSAWATWONG , S. , 1996 , Stability of retarded delay differential systems . International Journal of Control. , 65 , 347 – 364 .
  • Diisoim , C. M. , and VIDYASAGAR , M. , 1975 , Feedback Systems: Input-Output Properties ( New York : Academic Press ).
  • GOPALSAMY , K. , 1992 , Stability and Oscillations in Delay Differential Equations of Population Dynamics ( Boston , Massachusetts , U.S.A. : Kluwcr Academic ).
  • HALE , J. M. , and VERDUYN LUNEL , S. M. , 1993 , Introduction to Functional Differential Equations ( New York : Springer-Verlag ).
  • HALE , J. M. , INFANTE , E. M. , and TSEN , F.-S. P. , 1985 , Stability in linear delay equations . Journal of Mathematical Analysis and Applications , 105 , 533 – 555 .
  • HU , G.-DA , 1996 , Stability and numerical analysis for delay differential systems . PhD thesis , Nagoya University , Japan .
  • Hu , G.-Di. , and Hu , G.-DA , 1996 , Some simple stability criteria of neutral delay-differential systems . Applied Mathematics and Computation , 80 , 257 – 271 .
  • KHUSAINOV , D. M. , and YUN'KOVA , E. M. , 1988 , investigation of the stability of linear systems of neutral type by the Lyapunov function method . Diff. Uravn. , 24 , 613 – 621 .
  • LANCASTER , P. , and TISMENETSKY , M. , 1985 , The Theory of Matrices ( Orlando , Florida , U.S.A. : Academic Press ).
  • LI , L. M. , 1988 , Stability of linear neutral delay-differential systems . Bulletin of the Australian Mathematical Society , 38 , 339 – 344 .
  • MORI , T, and KOKAME , H. , 1989 , Stability of x(t)=Ax{t) + Bx(t - τ) . IEEE Transactions on Automatic Control , 34 , 460 – 462 .

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.