Exact null-controllability of interconnected abstract evolution equations with unbounded input operators

Benzion Shklyar

doi:10.3934/dcds.2021124

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2022, Volume 42, Issue 1: 463-479. Doi: 10.3934/dcds.2021124

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Exact null-controllability of interconnected abstract evolution equations with unbounded input operators

Benzion Shklyar

Holon Institute of Technology, Israel

Received: November 30, 2019

Revised: May 31, 2021

Early access: September 2021

Published: January 2022

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Abstract

The exact null-controllability problem in the class of smooth controls with applications to interconnected systems was considered in [23] for the case of bounded input operators appearing in systems with distributed controls. The current paper constitutes an extension of the [23] for the case of unbounded input operators (with more emphasis on the controllability of interconnected systems). The proofs of the results of [23] for the case of bounded input operators are adopted for the case of unbounded input operators.

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Mathematics Subject Classification: Primary: 93B05, 93C25; Secondary: 93B60, 93C23.

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