Up: guide
Previous: 12 Numerical tests on
-
- 1
-
C.T.H. Baker, J.C. Butcher and C.A.H. Paul,
"Experience of STRIDE applied to delay differential
equations",
MCCM Tech. rep. No. 208, University of Menchester,
1992.
- 2
-
C.T.H. Baker, C.A.H. Paul and D.R. Wille,
"Issues in the numerical solution of evolutionary delay
differential equations", Advances in Comput. Math.
Vol. 3, pp. 171-196, 1995.
- 3
-
C.T.H. Baker, C.A.H. Paul and D.R. Wille,
"A bibliography on the numerical solution of delay
differential equations", Technical report No. 269,
University of Menchester, 1995.
- 4
-
C.T.H. Baker,
"Numerical analysis of Volterra functional and integral
equations - state of the art",
MCCM Tech. rep. No. 292, University of Menchester,
1996.
- 5
-
C.T.H. Baker, G.A. Bocharov, A. Filiz, N.J. Ford,
C.A.H. Paul, F.A. Rihan, A. Tang, R.M. Thomas,
H. Tian and D.R. Wille,
"Numerical modelling by retarded functional differential
equations", Technical report No. 335,
University of Menchester, 1998.
- 6
-
A. Bellen,
"Constrained mesh methods for functional differential
equations",
Intentional Series of Numerical Mathematics,
Verlag, Basel, pp. 52-70, 1985.
- 7
-
E.N. Chukwu,
Stability and Time-optimal Control of
Hereditary Systems, Academic Press, 1992.
- 8
-
Control System Toolbox (for use with MATLAB).
The Mathworks Inc.
- 9
-
S.P. Corwin, D. Sarafyan and S. Thompson,
"DKLAG6: A code based on continuously imbedded
sixth-order Runge-Kutta methods for the solution of
state-dependent functional differential equations",
Appl. Num. Math., Vol. 24, pp. 319-330, 1997.
- 10
-
L. Crocco,
"Aspects of combustion stability in liquid propellant
rocket motors, Part I: Fundamentals - Low frequency
instability with monopropellants",
J. Amer. Rocket Soc., Vol. 21, No. 6, pp. 163-178, 1951.
- 11
-
C. Cryer,
"Numerical methods for functional differential equations",
In Delay and functional differential equations and
their application, Schmitt K. ed. Acad. Press,
New York, pp. 17-101, 1972.
- 12
-
W.H. Enright and H. Hayashi,
"A delay differential equation solver based on
a continuous Runge-Kutta method with defect control",
Num. Algorithms., Vol. 16, pp. 349-364, 1997.
- 13
-
Y.A. Fiagbedzi and A.E. Pearson,
"Feedback stabilization of linear autonomous time lag system",
IEEE Trans. Automat. Control, Vol. 31,
pp. 847-855, 1986.
- 14
-
K. Gopalsamy,
Stability and Oscillations in Delay Differential
Equations of Population Dynamics,
Kluwer Academic Publishers, The Netherlands, 1992.
- 15
-
E. Hairer, S. Norsett and G. Wanner,
Solving Ordinary Differential Equations. Nonstiff problems,
Springer, Berlin, 1987.
- 16
-
G. Hall and Y.M. Watt (Eds)
Modern Numerical Methods for Ordinary
Differential Equations, Clarendon Press, Oxford, 1976.
- 17
-
Z. Jackiewicz and E. Lo,
"The apgorithm SNDDELM for the numerical solution of
systems of neutral delay differential equations",
Appendix in: Y.Kuang,
Delay Differential Equations with Applications
in Population Dynamics, Academic Press, Boston, 1993.
- 18
-
A.V. Kim,
Functional differential equations. Application of
i-smooth calculus. Kluwer Academic Publishers,
The Netherlands, 1999.
- 19
-
A.V. Kim and V.G. Pimenov,
"Numerical methods for time-delay systems on the
basis of i-smooth analysis" Proceedings of the
15th World Congress on Scientific Computation,
Modelling and Applied Mathematics, V. 1: Computational
Mathematics, pp. 193-196, 1997.
- 20
-
A.V. Kim and V.G. Pimenov,
"On application of i-smooth analysis to elaboration of
numerical methods for functional differential equations",
Transactions of the Institute of Mathematics and
Mechanics, Vol. 5, pp. 104-126, 1998.
- 21
-
A.V. Kim, S.H. Han, W.H. Kwon and V.G. Pimenov,
"Explicit numerical methods and LQR control algorithms
for time-delay systems",
Proceedings of the International Conference on
Electrical Engineering, Kyungju, Korea, July
21-25, 1998.
- 22
-
A.V. Kim, V.G. Pimenov,
Numerical methods for delay differential equations.
Application of i-smooth calculus.
(Lecture Notes in Mathematics, Vol. 44).
Research Institute of Mathematics -
Global Analysis Research Center.
Seoul National University, 1999.
- 23
-
V.B. Kolmanovskii and A.D. Myshkis,
Applied theory of functional differential equations,
Kluwer Academic Publisher, The Netherlands, 1992.
- 24
-
N.N. Krasovskii, "On analytical constructing an optimal
regulator for systems with time lag", Prikl. Mat. Mekh.,
Vol. 26, pp. 39-51, 1962.
- 25
-
H.D. Kushner and D.I. Barnea, "On the control of a linear
functional-differential equation with quadratic cost",
SIAM J. Control, Vol. 8, No. 2, 1970.
- 26
-
A. Manitius,
"Feedback controllers for a wind tunnel model involving
a delay: Analytical design and numerical simulation",
IEEE Trans. Automat. Control, Vol. 29, no. 12,
pp. 1058-1068, 1984.
- 27
-
A. Manitius and H. Tran,
"Numerical simulation of a nonlinear feedback controller
for a wind tunnel model involving a time delay",
Optimal Control Application and Methods ,
Vol. 7, pp. 19-39, 1986.
- 28
-
K.W. Neves,
"Automatic integration of functional differential
equations: An approach",
ACM Trans. Math. Soft., pp. 357-368, 1975.
- 29
-
K.W. Neves and S. Thompson,
"Software for the numerical solution of systems of
functional differential equations with state-dependent
delays",
Appl. Num. Math., Vol. 9, pp. 385-401, 1992.
- 30
-
C.A.H. Paul, "A User Guide to ARCHI",
MCCM Tech. rep. No. 283, University of Menchester,
1995.
- 31
-
D.W. Ross, "Controller design for time lag systems via
quadratic criterion", IEEE Trans. Automat. Control,
Vol. 16, pp.664-672, 1971.
- 32
-
A. Shimbell,
"Contribution to the mathematical biophysics of the central
nervous system with the special reference to learning",
Bull Math. Biophysica, No. 12, pp. 241-275, 1950.
- 33
-
K. Uchida, E. Shimemura, T. Kubo and N. Abe,
"The linear-quadratic optimal control approach to feedback
control design for systems with delay",
Automatica, Vol. 24, No. 6, pp. 773-780, 1988.
- 34
-
D.R. Wille and C.T.H. Baker,
"DELSOL - A numerical code for the solution of systems of
delay differential equations",
Appl. Num. Math., Vol. 9, pp. 223-234, 1992.