$L^q$ approximate controllability frequency criterion for linear difference delay equations with distributed delays

Sébastien Fueyo

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arXiv · 2409.13777

$L^q$ approximate controllability frequency criterion for linear difference delay equations with distributed delays

Sébastien Fueyo

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Abstract

Based on an algebraic point of view and the realization theory developed by Y. Yamamoto, the present paper states a necessary and sufficient criterion, given in the frequency domain, for the $L^q$ approximate controllability in finite time of linear difference delay equations with distributed delays. Furthermore, an upper bound for the minimal time of the $L^q$ approximate controllability is obtained.

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Sébastien Fueyo. 2024-09-19. $L^q$ approximate controllability frequency criterion for linear difference delay equations with distributed delays. https://arxiv.org/abs/2409.13777

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