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\title{Tutorial on Bibliography}
\author{Kannan Moudgalya \\ kannan@iitb.ac.in \\ \byncsa}
\date{\today}
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\section{Aryabhatta's Identity for Control Design}
Polynomial equations of the form
\begin{align*}
X(z)D(z) + Y(z)N(z) = C(z)
\end{align*}
arise frequently in control system design. In the above equation,
$D(z)$, $N(z)$ and $C(z)$ are known polynomials and $X(z)$ and
$Y(z)$ are unknowns, to be determined. This equation is known as
Diophantine equation \cite{vk79,tk80} and Aryabhatta's identity
\cite{mv85}. A solution technique to this identity is presented in
\cite{cp82}. Matlab and Scilab implementations of this solution are
available on the web \cite{kmm1-07}.
The textbook by \citeasnoun{kmm07}
illustrates several control design
examples using Aryabhatta's identity. The approach followed in this
book is explained in \cite{ms04,km06}. In addition to handling
control design problems in conventional domains, this approach will
be useful also for naturally discrete time problems that arise in
computing systems, see for example, \cite{mmr03,mrbm04,vs06}.
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