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Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems

Abstract

This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary and sufficient conditions for approximate and exact controllability, expressed in the frequency domain. The results are applied to flows in networks.

article Article
date_range 2024
language English
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Featured Keywords

Linear one-dimensional hyperbolic systems
Boundary controls
Linear difference equations
Controllability
Flows in networks
Realization theory
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