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arXiv · 2104.02111

Linear port-Hamiltonian systems are generically controllable

Jonas Kirchhoff
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Abstract

The new concept of relative generic subsets is introduced. It is shown that the set of controllable linear finite-dimensional port-Hamiltonian systems is a relative generic subset of the set of all linear finite-dimensional port-Hamiltonian systems. This implies that a random, continuously distributed port-Hamiltonian system is almost surely controllable.

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Jonas Kirchhoff. 2021-04-05. Linear port-Hamiltonian systems are generically controllable. https://arxiv.org/abs/2104.02111

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