1 citations · 2 across the 13 of their papers we have counts for
13 papers
Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems
Karl Kunisch, Gengsheng Wang, Huaiqiang Yu
A quantitative frequency-domain condition related to the exponential stabilizability for infinite-dimensional linear control systems is presented. It is proven that this condition…
Stabilizability of linear systems with discrete observation mode
Hanbing Liu, Gengsheng Wang, Huaiqiang Yu
For linear control systems, the usual state feedback stabilizability has two components: one is a continuous observation mode (i.e., to observe solutions continuously in time), and…
Feedback law to stabilize linear infinite-dimensional systems
Yaxing Ma, Gengsheng Wang, Huaiqiang Yu
We design a new feedback law to stabilize a linear infinite-dimensional control system, where the state operator generates a C0-group and the control operator is unbounded. Our fee…
Quantitative unique continuation and observability on an equidistributed set for the diffusion equation in R^N
Yueliang Duan, Huaiqiang Yu, Can Zhang
In this paper, we obtain a quantitative estimate of unique continuation and an observability inequality from an equidistributed set for solutions of the diffusion equation in the w…
Exponential stabilization on infinite dimensional system with impulse controls
Qishu Yan, Huaiqiang Yu
This paper studies the exponential stabilization on infinite dimensional system with impulse controls, where impulse instants appear periodically. The first main result shows that…
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., , ,…
Switching properties of time optimal controls for systems of heat equations coupled by constant matrices
Shulin Qin, Gengsheng Wang, Huaiqiang Yu
This paper studies the time optimal control problem for systems of heat equations coupled by a pair of constant matrices. The control constraint is of the ball-type, while the targ…
Constrained approximate null controllability of coupled heat equation with periodic impulse controls
Lijuan Wang, Qishu Yan, Huaiqiang Yu
This paper is concerned with the constrained approximate null controllability of heat equation coupled by a real matrix , where the controls are impulsive and periodically acted…
On switching properties of time optimal controls for linear ODEs
Shulin Qin, Gengsheng Wang, Huaiqiang Yu
In this paper, we present some properties of time optimal controls for linear ODEs with the ball-type control constraint. More precisely, for an optimal control, we build up an upp…
Stabilization on periodic impulse control systems
Shulin Qin, Gengsheng Wang, Huaiqiang Yu
This paper studies the stabilization for a kind of linear and impulse control systems in finite-dimensional spaces, where impulse instants appear periodically. We present several c…
Interpolation inequality at one time point for parabolic equations with time-independent coefficients and applications
Huaiqiang Yu, Can Zhang
In this paper, we study the Hölder-type interpolation inequality and observability inequality from measurable sets in time for parabolic equations either with L^p unbounded potenti…
Equivalence of minimal time and minimal norm control problems for semilinear heat equations
Huaiqiang Yu
In this paper, we establish the equivalence of minimal time and minimal norm control problems for semilinear heat equations in which the controls are distributed internally in an o…
Approximation of time optimal controls for heat equations with perturbations in the system potential
Huaiqiang Yu
In this paper, we study a certain approximation property for a time optimal control problem of the heat equation with -potential. We prove that the optimal time and the o…