Stabilisation of infinite-dimensional bilinear systems using a quadratic feedback control

摘要

This article discusses feedback stabilisation of bilinear systems defined on a Hilbert state space. We show thatstabilising such a system reduces stabilising only its projection on a suitable subspace. Then we give a newstabilising control that minimises a quadratic cost and allows the decay estimate of the optimal trajectories. Anillustrating example is presented.