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© Copyright Franz Kappel, 2001
Web design by Alexei Kuntsevich
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Selected Publications
Keyword(s): linear-quadratic control problems
- [1]
- F. Kappel and D. Salamon.
Spline approximation for retarded systems and the Riccati equation.
SIAM J. Control and Optimization,
25:1082–1117, 1987.
- [2]
- F. Kappel and D. Salamon.
Approximation of the algebraic Riccati operator equation.
In Proc. 27th IEEE Conference on Decision and Control,
December 7–9, 1988, Austin, Texas, pages
2001–2002, 1988.
- [3]
- F. Kappel and D. Salamon.
An approximation theorem for the algebraic Riccati equation.
SIAM J. Control and Optimization,
28:1136–1147, 1990.
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- For an infinite dimensional linear
quadratic control problem in Hilbert space, approximation of the
solution of the algebraic Riccati operator equation in the strong
operator topology is considered under conditions weaker than uniform
exponential stability of the approximating systems. As an application
strong convergence of the approximating Riccati operators in case of a
previously developed spline approximation scheme for delay systems is
established. Finally we investigate convergence of the
transfer-functions of the approximating systems.
- [4]
- F. Kappel.
Approximation of LQR-problems for delay systems: a survey.
In K. Bowers and J. Lund, editors, Computation
and Control II, pages 187–224, Boston, 1991.
Birkhäuser.
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