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\fancyhead[L]{\textbf{\emph{Innovativity in Modeling and Analytics Journal of Research}} \\[1mm]
\textbf{vol. X, year, pages}, \\ \small{\url{http://imajor.info/}} \\[-2mm] }
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\title{ \LARGE \bf The Title }
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\author{first author$^{1}$, second author$^{2}$ \\[1mm]
$^{1}$ first author: affiliation \\ address \\
\texttt{e-mail} \\[1mm]
$^{2}$ second author: the same }
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\begin{center}
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\textbf{Abstract.} -The abstract goes here.-The abstract goes here.
\\ [4mm] \textbf{Key\,Words:}
The key-words follow. \ The key-words follow.
}
\end{center}
\section{Introduction}
We consider the linear quadratic differential games for positive systems with two players.
Based on the established Newton method in \cite{TJ} we modify and consider new iterations for
computing the stabilizing solution of the associated coupled set of Riccati equations. Convergence properties are fully
investigated in \cite{BES}.
Computer realizations of the presented iterative methods are numerically compared. Comparing the results from the experiments the main conclusion is
the modified iterations faster than the Newton method.
Please, follow our instructions faithfully, otherwise you have to resubmit your full paper. This will enable us to maintain uniformity in the conference proceedings as well as in the post-conference luxurious books by WSEAS Press. Thank you for your cooperation and contribution. We are looking forward to seeing you at the Conference.
We consider the linear quadratic differential games for positive systems with two players.
Based on the established Newton method in \cite{TJ} we modify and consider new iterations for
computing the stabilizing solution of the associated coupled set of Riccati equations. Convergence properties are fully
investigated in \cite{BES}.
Computer realizations of the presented iterative methods are numerically compared. Comparing the results from the experiments the main conclusion is
the modified iterations faster than the Newton method.
\section{Model description}
We consider the linear quadratic differential games for positive systems with two players.
Based on the established Newton method in \cite{TJ} we modify and consider new iterations for
computing the stabilizing solution of the associated coupled set of Riccati equations. Convergence properties are fully
investigated in \cite{BES}.
Computer realizations of the presented iterative methods are numerically compared. Comparing the results from the experiments the main conclusion is
the modified iterations faster than the Newton method.
You can use graphics following the example:
\bigskip
\begin{figure}
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\caption{Comparison for CPU time}\label{fig.1}
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\begin{theorem}\label{T1}
The following statements are true:
(i) The SDTRE of type ({\ref{e1}}) has at most one bounded and stabilizing solution.
(ii) Under the assumption ${\bf{H_1}})$ the unique bounded and stabilizing solution of SDTRE ({\ref{e1}}) (if any) is a periodic sequence with period $\theta$.
\end{theorem}
{\bf Proof:} ...... \hfill\fbox
\bigskip
Please, follow our instructions faithfully.
Thank you for your cooperation and contribution.
\begin{thebibliography}{99}
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\bibitem{TJ}
T.~Azevedo-Perdicoulis, G.~Jank,
Linear Quadratic Nash Games on Positive Linear Systems,
{\em European Journal of Control}, 11:1--13, 2005.
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\bibitem{BES}
W.~van den Broek, J.~Engwerda, J.~Schumacher, Robust Equilibria in Indefinite Linear Quadratic Differential Games,
{\em Journal of Optimization Theory and Applications}, 119(3):565--595, 2003.
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\bibitem{k} \url{ www.kaggle.com}
\end{thebibliography}
Examples follow:
Journal Papers:
[1] M. Ozaki, Y. Adachi, Y. Iwahori, and N. Ishii, {Application of fuzzy theory to writer recognition of Chinese characters},
{\em International Journal of Modelling and Simulation}, 18(2):112--116, 1998.
\bigskip \bigskip
Books:
[2] R.E. Moore, {\it Interval analysis}, Englewood Cliffs, NJ: Prentice-Hall, 1966.
\bigskip
Chapters in Books:
[3] P.O. Bishop, {\it Neurophysiology of binocular vision}, in J.Houseman (Ed.), Handbook of physiology, 4 ,
New York: Springer-Verlag, 342--366, 1970.
\bigskip
Proceedings Papers:
[4] W.J. Book, Modelling design and control of flexible manipulator arms: A tutorial review, Proc. 29th IEEE Conf. on Decision and Control, San Francisco, CA, 500--506, 1990.
\end{document}