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math.OC2026
Observer design and boundary output feedback stabilization for semilinear parabolic system over general multidimensional domain
Kai Liu, Hua-Cheng Zhou, Zhong-Jie Han +1
This paper investigates the output feedback stabilization of parabolic equation with Lipschitz nonlinearity over general multidimensional domain using spectral geometry theories. F…
math.OC2021
Sharp Stability of a String with Local Degenerate Kelvin-Voigt Damping
Zhong-Jie Han, Zhuangyi Liu, Qiong Zhang
This paper is on the asymptotic behavior of the elastic string equation with localized degenerate Kelvin--Voigt damping $$ u_{tt}(x,t)-[u_{x}(x,t)+b(x)u_{x,t}(x,t)]_{x}=0,\; x\in(-…
math.OC2021
Slow decay and turnpike for infinite-horizon hyperbolic LQ problems
Zhong-Jie Han, Enrique Zuazua
This paper is devoted to analysing the explicit slow decay rate and turnpike in the infinite-horizon linear quadratic optimal control problems for hyperbolic systems. Assume that s…