Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems

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چکیده

The goal of this article is to present the minimal time needed for null controllability and finite-time stabilization one-dimensional first-order 2 × linear hyperbolic systems. main technical point show that we cannot obtain a better time. proof combines backstepping method with Titchmarsh convolution theorem.

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ژورنال

عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations

سال: 2021

ISSN: ['1262-3377', '1292-8119']

DOI: https://doi.org/10.1051/cocv/2021091