27 citations · 74 across the 21 of their papers we have counts for
23 papers
Machine Learning Accelerated PDE Backstepping Observers
Yuanyuan Shi, Zongyi Li, Huan Yu +3
State estimation is important for a variety of tasks, from forecasting to substituting for unmeasured states in feedback controllers. Performing real-time state estimation for PDEs…
Energy and helicity conservation for the generalized quasi-geostrophic equation
Yanqing Wang, Yulin Ye, Huan Yu
In this paper, we consider the 2-D generalized surface quasi-geostrophic equation with the velocity determined by . It is shown that the ty…
Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density
Yulin Ye, Yanqing Wang, Huan Yu
In this paper, we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navie…
The role of density in the energy conservation for the isentropic compressible Euler equations
Yanqing Wang, Yulin Ye, Huan Yu
In this paper, we study Onsager's conjecture on the energy conservation for the isentropic compressible Euler equations via establishing the energy conservation criterion involving…
Local Well-posedness of Two Dimensional SQG Equation and Related Models
Huan Yu, Wanwan Zhang
In this paper, we present a new and elementary proof of the local existence and uniqueness of the classical solution to the Cauchy problem of the two-dimensional generalized surfac…
An Extension of Caldern-Zygmund type singular integral
Quansen Jiu, Dongsheng Li, Huan Yu
In this paper, we consider a kind of singular integral which can be viewed as an extension of the classical Caldern-Zygmund type singular integral. We establish an e…
Suppression of Oscillations in Two-Class Traffic by Full-State Feedback
Mark Burkhardt, Huan Yu, Miroslav Krstic
This paper develops a full-state feedback controller that damps out oscillations in traffic density and traffic velocity whose dynamical behavior is governed by the linearized two-…
Regulator Design for a Congested Continuum Traffic Model with App-Routing Instability
Stephen Chen, Huan Yu, Miroslav Krstic
In this paper, we propose a control design methodology for a linearized continuum traffic model in the congested regime. The continuum traffic flow on a highway is modeled using a…
Simultaneous Stabilization of Traffic Flow on Two Connected Roads
Huan Yu, Jean Auriol, Miroslav Krstic
In this paper we develop a boundary state feedback control law for a traffic flow network system in its most fundamental form: one incoming and one outgoing road connected by a jun…
-regularity criteria in Lorentz spaces to the 3D Navier-Stokes equations
Yanqing Wang, Wei Wei, Huan Yu
In this paper, we are concerned with regularity of suitable weak solutions of the 3D Navier-Stokes equations in Lorentz spaces. We obtain -regularity criteria in terms…
PDE Traffic Observer Validated on Freeway Data
Huan Yu, Qijian Gan, Alexandre M. Bayen +1
This paper develops boundary observer for estimation of congested freeway traffic states based on Aw-Rascle-Zhang (ARZ) partial differential equations (PDE) model. Traffic state es…
Stop-and-Go Suppression in Two-Class Congested Traffic
Mark Burkhardt, Huan Yu, Miroslav Krstic
This paper develops boundary feedback control laws in order to damp out traffic oscillations in the congested regime of the linearized two-class Aw-Rascle (AR) traffic model. The m…
Output Feedback Control of Two-lane Traffic Congestion
Huan Yu, Miroslav Krstic
This paper develops output feedback boundary control to mitigate traffic congestion of a unidirectional two-lane freeway segment. The macroscopic traffic dynamics are described by…
Boundary Observer for Congested Freeway Traffic State Estimation via Aw-Rascle-Zhang model
Huan Yu, Alexandre M. Bayen, Miroslav Krstic
This paper develops boundary observer for estimation of congested freeway traffic states based on Aw-Rascle-Zhang(ARZ) partial differential equations (PDE) model. Traffic state est…
Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation
Quansen Jiu, Xiaoxiao Suo, Jiahong Wu +1
This paper examines the uniqueness of weak solutions to the d-dimensional magnetohydrodynamic (MHD) equations with the fractional dissipation and without the magnetic dif…
Extremum Seeking for Traffic Congestion Control with a Downstream Bottleneck
Huan Yu, Shumon Koga, Tiago Roux Oliveira +1
This paper develops boundary control for freeway traffic with a downstream bottleneck. Traffic on a freeway segment with capacity drop at outlet of the segment is a common phenomen…
Bilateral Boundary Control of Moving Shockwave in LWR Model of Congested Traffic
Huan Yu, Mamadou Diagne, Liguo Zhang +1
We develop backstepping state feedback control to stabilize a moving shockwave in a freeway segment under bilateral boundary actuations of traffic flow. A moving shockwave, consist…
Reinforcement Learning versus PDE Backstepping and PI Control for Congested Freeway Traffic
Huan Yu, Saehong Park, Alexandre Bayen +2
We develop reinforcement learning (RL) boundary controllers to mitigate stop-and-go traffic congestion on a freeway segment. The traffic dynamics of the freeway segment are governe…
An Extension of Riesz Transform
Huan Yu, Quansen Jiu
In this paper, we consider the following singular integral \begin{equation*} T_jf(x)=K_j*f(x), K_j(x)=\frac{x_j}{|x|^{n+1-β}}, \end{equation*} where $x\in R^n, 0\le β<n, j=1,2,\cdo…
Remarks on well-posedness of the generalized surface quasi-geostrophic equation
Huan Yu, Xiaoxin Zheng, Quansen Jiu
In this paper, we are concerned with the Cauchy problem of the generalized surface quasi-geostrophic (SQG) equation in which the velocity field is expressed as , where $ω…
On the initial- and boundary-value problem for 2D micropolar equations with only angular velocity dissipation
Quansen Jiu, Jitao Liu, Jiahong Wu +1
This paper focuses on the initial- and boundary-value problem for the two-dimensional micropolar equations with only angular velocity dissipation in a smooth bounded domain. The ai…
Global well-posedness for axisymmetric MHD system with only vertical viscosity
Quansen Jiu, Huan Yu, Xiaoxin Zheng
In this paper, we are concerned with the global well-posedness of a tri-dimensional MHD system with only vertical viscosity in velocity equation for the large axisymmetric initial…
Decay of solutions to the three-dimensional generalized Navier-Stokes equations
Quansen Jiu, Huan Yu
In this paper, we first obtain the temporal decay estimates for weak solutions to the three dimensional generalized Navier-Stokes equations. Then, with these estimates at disposal,…