5 papers
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…
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…
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…
Periodic propagation of singularities for heat equations with time delay
Gengsheng Wang, Huaiqiang Yu, Yubiao Zhang
This paper presents two remarkable phenomena associated with the heat equation with a time delay: namely, the propagation of singularities and periodicity. These are manifested thr…