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Controllability of time-varying lumped semilinear systems

Hernán R. Henríquez, Matthieu F. Pinaud

math.OCarXiv:2608.31131

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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