Abstract
Many of the results derived in this book are concerned with a generally formulated optimization problem. But if a concrete problem is given which has a rich mathematical structure, then solutions or characterizations of solutions can be derived sometimes in a direct way. In this case one takes advantage of the special structure of the optimization problem and can achieve the desired results very quickly.
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Notes
- 1.
A proof of this existence result can be found e.g. in [212, p. 121–122].
References
R.W. Brockett, Finite dimensional linear systems (Wiley, New York, 1970).
W. Krabs, Einführung in die Kontrolltheorie (Wissenschaftliche Buchgesellschaft, Darmstadt, 1978).
W. Krabs, Optimal control of undamped linear vibrations (Heldermann, Lemgo, 1995).
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Jahn, J. (2020). Direct Treatment of Special Optimization Problems. In: Introduction to the Theory of Nonlinear Optimization. Springer, Cham. https://doi.org/10.1007/978-3-030-42760-3_9
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DOI: https://doi.org/10.1007/978-3-030-42760-3_9
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