Controllability of time-varying lumped semilinear systems

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

Source: arXiv:2608.31131v1 - http://arxiv.org/abs/2608.31131v1 PDF: https://arxiv.org/pdf/2608.31131v1 Original Link: http://arxiv.org/abs/2608.31131v1