34 citations · 47 across the 11 of their papers we have counts for
11 papers
Characterizations of complete stabilizability
Hanbing Liu, Gengsheng Wang, Yashan Xu +1
We present several characterizations, via some weak observability inequalities, on the complete stabilizability for a control system , i.e., , ,…
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…
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…
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…
Impulse output rapid stabilization for heat equations
Kim Dang Phung, Gengsheng Wang, Yashan Xu
The main aim of this paper is to provide a new feedback law for the heat equations in a bounded domain with Dirichlet boundary condition. Two constraints will be compulsory: Fi…
Optimal Actuator Location of the Minimum Norm Controls for Heat Equation with General Controlled Domain
Bao-Zhu Guo, Yashan Xu, Dong-Hui Yang
In this paper, we study optimal actuator location of the minimum norm controls for a multi-dimensional heat equation with control defined in the space . The actuat…
Attainable subspaces and the bang-bang property of time optimal controls for heat equations
Gengsheng Wang, Yashan Xu, Yubiao Zhang
In this paper, we study two subjects on internally controlled heat equations with time varying potentials: the attainable subspaces and the bang-bang property for some time optimal…
Time optimal control problems for some non-smooth systems
Hongwei Lou, Junjie Wen, Yashan Xu
Time optimal control problems for some non-smooth systems in general form are considered. The non-smoothness is caused by singularity. It is proved that Pontryagin's maximum princi…
Equivalent Conditions on Periodic Feedback Stabilization for Linear Periodic Evolution Equations
Gengsheng Wang, Yashan Xu
This paper studies the periodic feedback stabilization for a class of linear -periodic evolution equations.Several equivalent conditions on the linear periodic feedback stabiliz…
Advantages for controls imposed in a proper subset
Gengsheng Wang, Yashan Xu
In this paper, we study time optimal control problems for heat equations on . Two properties under consideration are the existence and the bang-bang propertie…
Equivalence of three different kinds of optimal control problems for heat equations and its applications
Gengsheng Wang, Yashan Xu
This paper presents an equivalence theorem for three different kinds of optimal control problems, which are optimal target control problems, optimal norm control problems and optim…