4 papers · 1 filter
Observability from measurable sets for strongly coupled parabolic systems via single-component observation
Xiaoyu Fu, Gengsheng Wang, Huaiqiang Yu +1
We establish an observability inequality from space-time measurable sets for a class of strongly coupled parabolic systems consisting of two equations, where the observation acts o…
Rapid stabilizability of infinite-dimensional control systems with time delays
Yaxing Ma, Lijuan Wang, Huaiqiang Yu
In this paper, we investigate the rapid stabilizability of linear infinite-dimensional control systems with a constant time delay. Under the assumptions that the state operator gen…
Stabilizability with bounded feedback for analytic linear control systems
Yaxing Ma, Emmanuel Trélat, Lijuan Wang +1
In this paper, we give sufficient conditions under which linear abstract control systems for which the semigroup is analytic are stabilizable with a bounded feedback. We obtain var…
On invariance of observability for BSDEs and its applications to stochastic control systems
Bao-Zhu Guo, Huaiqiang Yu, Meixuan Zhang
In this paper, we establish the invariance of observability for the observed backward stochastic differential equations (BSDEs) with constant coefficients, relative to the filtered…