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\noindent{\Large ECE 602}\hfill{\Large Fall 2011}
\\
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%{\LARGE \bf Model-based Predictive Control (MPC)\footnote{handout prepared by S.~H.~\.{Z}ak}}
{\Large \bf Linear Time Varying Systems}\\
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%by\\

{\large Stanislaw H. \.{Z}ak}\\


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Of considerable importance in many applications are linear systems in which the elements of $\b A$ and $\b B$ are continuous functions of time. For example, Pang et al.~\cite{pang01}, Chiasson and Vairamohan~\cite{chiasson05}, and McIntye et al.~\cite{mcintyre06}  model electrochemical batteries using time-varying state-space models.

In general, it is not possible to give explicit expressions for solutions of time varying linear systems.

\section{Introduction}





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