Well-posedness and exact controllability of the mass balance equations for an extrusion process

Feedback stabilization for the mass balance equations of a food extrusion process

In this paper, we study the stabilization problem for a food extrusion process in the isothermal case. The model expresses the mass conservation in the extruder chamber and consists of a hyperbolic Partial Differential Equation (PDE) and a nonlinear Ordinary Differential Equation (ODE) whose dynamics describes the evolution of a moving interface. By using a Lyapunov approach, we obtain the exponential stabilization for the closed-loop system under natural feedback controls through indirect measurements.

Local exact one-sided boundary null controllability of entropy solutions to a class of hyperbolic systems of balance laws

We consider nxn hyperbolic systems of balance laws in one-space dimension under the assumption that all negative (resp. positive) characteristics are linearly degenerate. We prove the local exact one-sided boundary null controllability of entropy solutions to this class of systems, which generalizes the corresponding results from the case without source terms to that with source terms. In order to apply the strategy used for conservation law, we essentially modify the constructive method by introducing two different kinds of approximate solutions to system in the forward sense and to the syste…

分数阶热方程和波动方程的边界观测与控制

Boundary observation and control for fractional heat and wave equations

该研究针对有界光滑域上由积分分数阶拉普拉斯算子驱动的热方程，结合乘子方法、分数阶Pohozaev恒等式与Lebeau-Robbiano迭代，建立了$s>1/2$时的边界零能控性。

Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states

In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semilinear degenerate reaction-diffusion equation in divergence form governed via the coefficient of the \-reaction term (bilinear or multiplicative control). The above one-dimensional equation is degenerate since the diffusion coefficient is positive on the interior of the spatial domain and vanishes at the boundary points. Furthermore, two different kinds of degenerate diffusion coefficient are distinguished and studied …

非对称精确边界可控性用于空间弹性弦、弹簧和质量网络

Asymmetric exact controllability for networks of spatial elastic strings, springs and masses

研究非对称精确边界可控性问题，针对空间弹性弦、弹簧和质量网络，证明了在特定控制条件下星型网络的可控性及非对称控制空间特性。

某些具有常系数的一维线性双曲平衡律的最小零控时间及相关核方程的性质

Minimal null control time of some 1D linear hyperbolic balance laws with constant coefficients and properties of related kernel equations

本文研究一维常系数双曲平衡律的零能控性，通过核方程分析，给出最小零控时间与正交性条件的关系及显式界，并推广至有限时间镇定。