Keywords
- Optimal Control Problem
- Delay System
- Functional Differential Equation
- Finite Dimensional Subspace
- Neutral Functional Differential Equation
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References
H.T. Banks, Approximation of nonlinear functional differential equation control systems, J. Opt. Theory Appl., to appear.
H.T. Banks and J.A. Burns, An abstract framework for approximate solutions to optimal control problems governed by hereditary systems, in International Conf. on Differential Equations (H. Antosiewicz, ed.), Academic Press, 1975, p. 10–25
H.T. Banks and J.A. Burns, Hereditary control problems: numerical methods based on averaging approximations, SIAM J. Control Opt. 16(1978), 169–208.
H.T. Banks, J.A. Burns and E.M. Cliff, Spline based approximation methods for control and identification of hereditary systems, to appear.
H.T. Banks, J.A. Burns, E.M. Cliff and P.R. Thrift, Numerical solutions of hereditary control problems via an approximation technique, LCDS Tech. Rep. 75-6, Brown University, Providence, 1975.
H.T. Banks and F. Kappel, Spline approximations for functional differential equations, to appear.
J.A. Burns and E.M. Cliff, Methods for approximating solutions to linear hereditary quadratic optimal control problems, IEEE Trans. Automatic Control 23(1978), 21–36.
E.M. Cliff and J.A. Burns, Parameter identification for linear hereditary systems via an approximation technique, March, 1978; to appear in Proc. Workshop on the Linkage between Applied Mathematics and Industry.
F. Kappel and W. Schappacher, Autonomous nonlinear functional differential equations and averaging approximations, J. Nonlinear Analysis: Theory, Methods and Appl. 2(1978), 391–422.
F. Kappel and W. Schappacher, Nonlinear functional differential equations and abstract integral equations, Preprint No. 1, May, 1978, Universität Graz.
S.G. Krein, Linear Differential Equations in Banach Space, Trans. Math. Mono., vol. 29, Amer. Math. Soc., Providence, 1971.
K. Kunisch, Neutral functional differential equations and averaging approximations, J. Nonlinear Analysis: Theory, Methods and Appl., to appear.
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Math. Dept. Lecture Notes, vol. 10, Univ. Maryland, College Park, 1974.
D. Reber, Approximation and Optimal Control of Linear Hereditary Systems, Ph.D. Thesis, Brown University, November, 1977.
D. Reber, A finite difference technique for solving optimization problems governed by linear functional differential equations, J. Differential Equations, to appear.
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© 1979 Springer-Verlag
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Banks, H.T. (1979). Approximation of delay systems with applications to control and identification. In: Peitgen, HO., Walther, HO. (eds) Functional Differential Equations and Approximation of Fixed Points. Lecture Notes in Mathematics, vol 730. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064311
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DOI: https://doi.org/10.1007/BFb0064311
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Online ISBN: 978-3-540-35129-0
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