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\begin{document}

\title{Finite-time boundary stabilization of fractional reaction-diffusion
systems}



\author[1]{Run-Jie Zhang}%
\author[1]{Liming Wang}%
\author[2]{Kai-Ning Wu}%
\affil[1]{Harbin Institute of Technology Weihai}%
\affil[2]{Harbin Institute of Technology - Weihai}%


\vspace{-1em}



  
  \date{May 26, 2024}


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\begin{abstract}
This paper investigates the boundary finite-time stabilization of
fractional reaction-diffusion systems (FRDSs). First, a distributed
controller is designed, and sufficient conditions are obtained to ensure
the finite-time stability (FTS) of FRDSs under the designed controller.
Then, a boundary controller is presented to achieve the FTS. By virtue
of Lyapunov functional method and inequality techniques, sufficient
conditions are presented to ensure the FTS of FRDSs via the designed
boundary controller. The effect of diffusion term of FRDSs on the FTS is
also investigated. Both Neumann and mixed boundary conditions are
considered. Moreover, the robust finite-time stabilization of uncertain
FRDSs is studied when there are uncertainties in the system's
coefficients. Under the designed boundary controller, sufficient
conditions are presented to guarantee the robust FTS of uncertain FRDSs.
Finally, numerical examples are presented to verify the effectiveness of
our theoretical results.%
\end{abstract}%



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