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\begin{document}

\title{Decay Rate Characterization for Positive Singular Systems with Unbounded
Delays}



\author[1]{Bohao Zhu}%
\author[1]{James Lam}%
\author[2]{Yukang Cui}%
\author[3]{Jason Ying Kuen Chan}%
\author[1]{Ka-Wai Kwok}%
\affil[1]{The University of Hong Kong Department of Mechanical Engineering}%
\affil[2]{Shenzhen University College of Mechatronics and Control Engineering}%
\affil[3]{The Chinese University of Hong Kong Department of Otorhinolaryngology Head and Neck Surgery}%


\vspace{-1em}



  
  \date{May 26, 2024}


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\selectlanguage{english}
\begin{abstract}
This paper investigates the decay rates of continuous-time singular
systems with unbounded delays. By introducing an auxiliary system for
the original system, the positivity and asymptotic stability conditions
of the system are investigated first. Then, \selectlanguage{greek}\emph{µ}-\selectlanguage{english}stability criteria,
which are applied to characterize the decay rates of the systems, are
proposed, and the relation between the system matrices and
\selectlanguage{greek}\emph{µ}-\selectlanguage{english}stability is studied. Those results include the stability of
positive singular systems with bounded time-varying delays and
time-varying delays with linear growth rate as special cases. Finally, a
numerical example is given to illustrate the obtained theoretical
results.%
\end{abstract}%



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