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Optimal Regulation with Quadratic Cost Functional of a Degenerate System

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Abstract

In this paper, we consider the regulator problem for the singular system

$$\begin{aligned}&\frac{{\mathrm{d}}}{{\mathrm{d}}t}(My)+Ly=Bu(t),\quad 0<t<\tau ,\\&My(0)=My_0, \end{aligned}$$

where L, M are closed linear operators on a real Hilbert space H, B is a continuous linear operator from a real Hilbert space U into H, the domain D(L) of L is contained into the domain D(M) of M, L has a bounded inverse, and \(y_0\) is a given element in D(L).

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Correspondence to Angelo Favini.

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Favini, A. Optimal Regulation with Quadratic Cost Functional of a Degenerate System. Mediterr. J. Math. 19, 198 (2022). https://doi.org/10.1007/s00009-022-02067-6

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  • DOI: https://doi.org/10.1007/s00009-022-02067-6

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