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arXiv · 2608.31131

Controllability of time-varying lumped semilinear systems

Hernán R. Henríquez·Matthieu F. Pinaud
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Abstract

In this work we are concerned with the controllability of time-varying lumped control systems governed by a semilinear differential equation. We consider the semilinear system as a perturbation of a linear system. Assuming the underlying linear system is controllable, and the nonlinear forcing function satisfies a boundedness condition which is adapted to the underlying linear system, we show that the semilinear system is also approximately controllable

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Hernán R. Henríquez, Matthieu F. Pinaud. 2026-08-31. Controllability of time-varying lumped semilinear systems. https://arxiv.org/abs/2608.31131

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