Abstract
In this chapter, two different methods of investigation of optimal control are developed.The first one is an abstract variant of the Wiener method: it is based on the reduction of the control problem to the problem of the minimization of a quadratic functional on a given subspace of some Hilbert space. The second method is based on the special representation of the performance index. This method rises from the known “frequency” theorems (Kalman- Yakubovich and Kalman-Czege lemmas) and is connected with the special factorization of the weight operator (of the performance index). Due to these methods, an abstract variant of SLQP is investigated.
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© 1996 Springer Science+Business Media Dordrecht
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Cheremensky, A., Fomin, V. (1996). Linear quadratic optimization in feedback control class. In: Operator Approach to Linear Control Systems. Mathematics and Its Applications, vol 345. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0127-8_6
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DOI: https://doi.org/10.1007/978-94-009-0127-8_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6544-3
Online ISBN: 978-94-009-0127-8
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