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\begin{document}

\title{Advanced controller design for uncertain linear systems with
time-varying delays via augmented zero equality approach}



\author[1]{YongGwon Lee}%
\author[1]{Youngjae Kim}%
\author[1]{Seungho Kim}%
\author[1]{Seunghoon Lee}%
\author[2]{Myeongjin Park}%
\author[1]{O. M.  Kwon}%
\affil[1]{Chungbuk National University}%
\affil[2]{Kyung Hee University - Global Campus}%


\vspace{-1em}



  
  \date{May 23, 2024}


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\begin{abstract}
This paper deals with the stability analysis and controller design for
linear systems with time-varying delays and parameter uncertainties. By
choosing appropriate augmented Lyapunov-Krasovskii functionals, a set of
Linear Matrix inequalities is derived to get advanced feasible region of
stability, and controller gain matrices which guarantee the asymptotic
stability of the concerned systems within maximum bound of time-delays
and its time-derivative. To further reduce the conservatism of
stabilization criterion a recently developed mathematical technique
which constructed a new augmented zero equality is applied. Finally, two
numerical examples are utilized to show the validity and superiority of
the proposed methods.%
\end{abstract}%



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