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Almost Automorphy and Riccati Equation

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Abstract

In this paper we first consider a linear time invariant system with almost automorphic forcing term. We propose two new deterministic quadratic control problems motivated by Da-Prato. We make use of a degenerate Riccati equation to solve these control problems. We also study the existence and uniqueness of an almost automorphic solutions of the associated differential equations.

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Acknowledgments

The author would like to thank the referee for his/her useful comments and suggestions which really helped to improve the manuscript.

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  1. Depto. Matematicas, Facultad de Ciencias, Univ. de Chile, Las Palmeras, 3425, Ñuñoa, Santiago, Chile

    Indira Mishra

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  1. Indira Mishra
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Correspondence to Indira Mishra.

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Mishra, I. Almost Automorphy and Riccati Equation. Differ Equ Dyn Syst 27, 379–394 (2019). https://doi.org/10.1007/s12591-015-0271-9

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