Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure

通过终端代价实现严格预耗散非线性滚动时域控制的镇定

Stabilization of strictly pre-dissipative nonlinear receding horizon control by terminal costs

针对严格预耗散非线性滚动时域控制，本文证明可用适当有界的终端代价替代状态约束，实现闭环实际渐近稳定。

一维非线性抛物方程的快速边界镇定

Rapid boundary stabilization of 1D nonlinear parabolic equations

本文采用模态分解法构造仅改变不稳定特征值的反馈控制，建立一维非线性抛物方程的局部快速边界镇定，并利用耗散性得到 Burgers、Allen-Cahn 等系统的全局快速镇定结果。

通过终端代价实现严格预耗散滚动时域线性二次控制的镇定

Stabilization of Strictly Pre-Dissipative Receding Horizon Linear Quadratic Control by Terminal Costs

本文研究严格预耗散滚动时域控制中终端约束的替代问题，证明在线性二次框架下可用适当终端代价保证渐近稳定性，并获得比一般非线性情形更强的结论。

用于量子镇定的耗散反馈切换

Dissipative Feedback Switching for Quantum Stabilization

本文针对量子镇定问题，提出一种基于测量的耗散反馈切换新方法，放宽了不变性假设且可避免抖振与芝诺效应，在目标不变场景下可实现指数收敛，数值实验验证其收敛速度优于开环工程耗散方法。

通过有限参数控制器稳定海洋立管模型

Stabilization of the Marine Riser model by controllers depending on finitely many parameters

本文提出了一种基于有限参数的反馈控制器，用于实现海洋立管模型的全局稳定化，该方法适用于实际工程应用。

Dissipative stabilization of linear input delay systems via dynamical state feedback controllers: an optimization based approach

In this note, we present an effective solution to the stabilization of linear input delay systems subject to dissipative constraints while all the effect of input delay is compensated by a controller with novel structure. The method is inspired by the recent development in the mathematical treatment of distributed delays and predictor controllers, which are critical for the derivation of the solution. An important conceptual innovation is the use of a parameterized dynamical state feedback controller (DSFC), where the dimension of the controller equals the dimension of the control input. A suf…

线性输入延迟系统动态状态反馈控制，第一部分：通过半正定规划实现耗散稳定

Dynamical State Feedback Control for Linear Input Delay Systems, Part I: Dissipative Stabilization via Semidefinite Programming

本文提出了一种基于半正定规划的框架，用于解决输入延迟系统的稳定问题，通过参数化线性动态状态反馈方法实现耗散稳定。

Neumann boundary feedback stabilization for a nonlinear wave equation: A strict $H^2$-Lyapunov function

For a system that is governed by the isothermal Euler equations with friction for ideal gas, the corresponding field of characteristic curves is determined by the velocity of the flow. This velocity is determined by a second-order quasilinear hyperbolic equation. For the corresponding initial-boundary value problem with Neumann-boundary feedback, we consider non-stationary solutions locally around a stationary state on a finite time interval and discuss the well-posedness of this kind of problem. We introduce a strict $H^2$-Lyapunov function and show that the boundary feedback constant can be …

Compensation of Actuator Dynamics Governed by Quasilinear Hyperbolic PDEs

We present a methodology for stabilization of general nonlinear systems with actuator dynamics governed by general, quasilinear, first-order hyperbolic PDEs. Since for such PDE-ODE cascades the speed of propagation depends on the PDE state itself (which implies that the prediction horizon cannot be a priori known analytically), the key design challenge is the determination of the predictor state. We resolve this challenge and introduce a PDE predictor-feedback control law that compensates the transport actuator dynamics. Due to the potential formation of shock waves in the solutions of quasili…

聚焦NLKG在非稳定平衡点附近的边界镇定：径向情形

Boundary stabilization of focusing NLKG near unstable equilibria: radial case

研究聚焦三次Klein-Gordon方程在闭球上静态解附近的线性不稳定性和边界镇定，提出开环与闭环控制实现指数镇定，并给出最优镇定速率。

一维保守律方程组的全局边界稳定化

Global boundary stabilization of 1d systems of scalar conservation laws

研究通过结合物理边界约束与静态反馈控制律的边界反馈条件，建立一维保守律方程组的well-posedness，并提出保证全局指数稳定的充分耗散条件。

New perspectives on output feedback stabilization at an unobservable target

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less observable as it approaches the target. We illustrate two main ideas: well chosen perturbations of a state feedback law can yield new observability properties of the closed-loop system, and embedding systems into bilinear systems admitting observers with dissipative error systems allows to mitigate the observability issues. We apply them on a case of systems with li…

量子随机动力学中基于反馈切换的镇定方法

Stabilization via feedback switching for quantum stochastic dynamics

本研究提出一种结合连续测量输出与切换耗散控制的量子系统纯态/子态制备新方法，证明其可实现目标的全局渐近稳定，且性能优于现有两类切换控制律，尤其在错误初始化场景下提升显著。

基于约化滤波器的时间变化扰动量子系统镇定

Stabilization of Time-Varying Perturbed Quantum Systems via Reduced Filters

本文提出基于约化量子滤波器的反馈镇定策略，仅估计O(N)个实变量即可对时间变化扰动下的量子系统实现鲁棒镇定，并证明了目标子空间的全局指数稳定性。