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Volumn 6 B, Issue , 2005, Pages 817-822

A new look at the stability analysis of delay differential equations

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DEMONSTRATIONS; LAPLACE TRANSFORMS; LINEAR EQUATIONS; MATHEMATICAL MODELS; NUMERICAL METHODS;

EID: 33244493573     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-84740     Document Type: Conference Paper
Times cited : (8)

References (20)
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  • 5
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  • 6
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    • Engelborghs, K. and Roose, D., On stability of LMS methods and characteristic roots of delay differential equations. SIAM Journal of Numerical Analysis, 40, 629-650, 2002.
    • (2002) SIAM Journal of Numerical Analysis , vol.40 , pp. 629-650
    • Engelborghs, K.1    Roose, D.2
  • 7
    • 0003324723 scopus 로고
    • Introduction to functional differential equations
    • Springer Verlag, New York
    • Hale, J. K., & Lunel, S. M. V., Introduction to Functional Differential Equations, Applied Mathematical Sciences, 99, Springer Verlag, New York, 1993.
    • (1993) Applied Mathematical Sciences , vol.99
    • Hale, J.K.1    Lunel, S.M.V.2
  • 8
    • 0001114217 scopus 로고    scopus 로고
    • Counting roots of the characteristic equation for linear delay-differential systems
    • Hassard, B. D., Counting roots of the characteristic equation for linear delay-differential systems, Journal of Differential Equations, 136, pp. 222-235, 1997.
    • (1997) Journal of Differential Equations , vol.136 , pp. 222-235
    • Hassard, B.D.1
  • 9
    • 84960560867 scopus 로고
    • Roots of the transcendental equation associated with a certain differential-difference equation
    • Hayes, N. D., Roots of the transcendental equation associated with a certain differential-difference equation, J. London Math. Soc., 25, pp. 226-232, 1950.
    • (1950) J. London Math. Soc. , vol.25 , pp. 226-232
    • Hayes, N.D.1
  • 12
    • 33244496070 scopus 로고
    • Galerkin type approximation schemes for delay systems
    • Kappel, F., Galerkin type approximation schemes for delay systems, Annals of Differential Equations, 1(1), 57-82, 1985.
    • (1985) Annals of Differential Equations , vol.1 , Issue.1 , pp. 57-82
    • Kappel, F.1
  • 13
    • 33244487568 scopus 로고
    • Spline approximation for autonomous nonlinear functional differential equations
    • Kappel, F., Spline approximation for autonomous nonlinear functional differential equations, Nonlinear Analysis, Theory, Methods & Applications, 10(5), pp. 503-513, 1986.
    • (1986) Nonlinear Analysis, Theory, Methods & Applications , vol.10 , Issue.5 , pp. 503-513
    • Kappel, F.1
  • 15
    • 0036576491 scopus 로고    scopus 로고
    • An exact method for the stability analysis of time-delayed LTI systems
    • Olgac, N., and Sipahi, R., An exact method for the stability analysis of time-delayed LTI systems, IEEE Trans. Autom. Control, 47(5), pp. 793-797, 2002.
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    • Olgac, N.1    Sipahi, R.2
  • 16
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  • 17
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.