<> Eva Zerz <> Algebraic Theory of Linear Systems: A Survey <> Surveys in Differential-Algebraic Equations II, A. Ilchmann, T. Reis (eds), Differential-Algebraic Equations Forum, Springer-Verlag, Berlin 2015 <> pp. 287-333 (invited contribution) <> www.springer.com/mathematics/dynamical+systems/book/978-3-319-11049-3 <> dx.doi.org/10.1007/978-3-319-11050-9_5 <> This survey article reviews some algebraic techniques for the analysis of various kind of linear systems: ordinary and partial differential equations, difference equations and abstract linear systems. Special emphasis is given to control theoretic and algorithmic aspects. <> procs <> pdf <> 2015 <> differential equations, control theory, involutive basis <> computer algebra, differential equations <>