3 papers
math.OC2020
Characterization by detectability inequality for periodic stabilization of linear time-periodic evolution systems
Yashan Xu
Given a linear time-periodic control system in a Hilbert space with a bounded control operator, we present a characterization of periodic stabilization in terms of a detectability…
math.OC2019
Stabilization of infinite-dimensional linear control systems by POD reduced-order Riccati feedback
Emmanuel Trélat, Gengsheng Wang, Yashan Xu
There exist many ways to stabilize an infinite-dimensional linear autonomous control systems when it is possible. Anyway, finding an exponentially stabilizing feedback control that…
math.OC2018
Characterization by observability inequalities of controllability and stabilization properties
Emmanuel Trélat, Gengsheng Wang, Yashan Xu
Given a linear control system in a Hilbert space with a bounded control operator, we establish a characterization of exponential stabilizability in terms of an observability inequa…