62
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

Stability of retarded delay differential systems

Pages 347-364 | Received 03 Feb 1995, Published online: 24 Feb 2007

REFERENCES

  • BELLMAN , R. , and COOKE , K. L. , 1963 , Differential-Difference Equations ( London , U.K. : Academic Press ).
  • DESOER , C. A. , and VIDYASAGAR , M. , 1975 , Feedback Systems: Input-Output Properties ( New York : Academic Press ).
  • GÓRECKI , H. , FUKSA , S. , GRABOWSKI , P. , and KORYTOWSKI , A. , 1989 , Analysis and Synthesis of Time Delay Systems ( Warsaw , Poland : PWN-Polish Scientific Publishers, Wiley-Interscience ).
  • HALE , J. K. , 1977 , Theory of Functional Differential Equations, Applied Mathematical Sciences , Vol. 3 ( New York : Springer-Verlag ).
  • HENRICI , P. , 1974 , Applied and Computational Complex Analysis , Vol. 1 ( New York : Wiley ).
  • KAHANER , D. , MOLER , C. , and NASH , S. , 1989 , Numerical Methods and Software ( Englewood Cliffs , New Jersey , U.S.A. : Prentice Hall ).
  • KUO , B. C. , 1987 , Automatic Control Systems, , fifth edition ( Englewood Cliffs , New Jersey , U.S.A. : Prentice Hall ).
  • MARSHALL , J. E. , 1979 , Control of Time-Delay Systems ( London , U.K. : Peter Peregrinus ).
  • MARSHALL , J. E. , GÓRECKI , H. , KORYTOWSKI , A. , and WALTON , K. , 1992 , Time-Delay Systems: Stability and Performance Criteria with Applications ( Chichester , U.K. . Ellis Horwood ).
  • MORI , T. , 1985 , Criteria for asymptotic stability of linear time-delay systems . IEEE Transactions on Automatic Control , 30 , 158 – 161 .
  • MORI , T. , and KOKAME , H. , 1989, Stability of [xdot](t) = Ax(t) + Bx(t − τ). IEEE Transactions on Automatic Control , 34, 460–462.
  • MORI , T. , FUKUMA , N. , and KUWAHARA , M. , 1981 , Simple stability criteria for single and composite linear systems with time delays . International Journal of Control , 34 , 1175 – 1184 .
  • VIDYASAGAR , M. , BERTSCHMANN , R. K. , and SALLABERGER , C. S. , 1988 , Some implifications of the graphical Nyquist criterion . IEEE Transactions on Automatic Control , 33 , 301 – 305 .
  • WALTON , K. , and MARSHALL , J. E. , 1987 , Direct method for TDS stability analysis . Proceedings of the Institution of Electrical Engineers , Pt D , 134 , 101 – 107 .
  • WANG , S.-S. , 1992 , Further results on stability of [Xdot]( t) = AX( t) + BX(t − τ) . Systems and Control Letters , 19 , 165 – 168 .
  • WHIDBORNE , J. F. , and LIU , G. P. , 1993 , Critical Control Systems Theory, Design and Applications . ( Taunton , U.K. : Research Studies Press ).
  • ZAKIAN , V. , 1979 , Computation of abscissa of stability by repeated use of the Routh test . IEEE Transactions on Automatic Control , 24 , 604 – 606 ; 1986, A performance criterion. International Journal of Control, 43, 921–931; 1987, Design formulations. International Journal of Control, 46, 403–408; 1992, Perspectives on the principle of matching and the method of inequalities. Control Systems Centre Report 769, UMIST, Manchester, U.K. (revised August, 1995) .
  • ZAKIAN , V. , and AL-NAIB , U. , 1973 , Design of dynamical and control systems by the method of inequalities . Proceedings of the Institution of Electrical Engineers , 120 , 1421 – 1427 .

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.