Computation of open-loop inputs for uniformly ensemble controllable systems

Michael Schönlein

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arXiv · 2105.14812

Computation of open-loop inputs for uniformly ensemble controllable systems

Michael Schönlein

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Abstract

This paper presents computational methods for families of linear systems depending on a parameter. Such a family is called ensemble controllable if for any family of parameter-dependent target states and any neighborhood of it there is a parameter-independent input steering the origin into the neighborhood. Assuming that a family of systems is ensemble controllable we present methods to construct suitable open-loop input functions. Our approach to solve this infinite-dimensional task is based on a combination of methods from the theory of linear integral equations and finite-dimensional control theory.

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Michael Schönlein. 2021-05-31. Computation of open-loop inputs for uniformly ensemble controllable systems. https://arxiv.org/abs/2105.14812

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