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Linear dynamical system
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<p>Linear dynamical systems are <a href="/facts/Dynamical_systems/782gREl5">dynamical systems</a> whose <a href="/facts/Evolution_function/hcaspdq4">evolution functions</a> are <a href="/facts/Linear/fChtg3KC">linear</a>. While dynamical systems, in general, do not have <a href="/facts/Closed-form_expression/y0xCXlSk">closed-form solutions</a>, linear dynamical systems can be solved exactly, and they have a rich set of mathematical properties. Linear systems can also be used to understand the qualitative behavior of general dynamical systems, by calculating the <a href="/facts/Equilibrium_points/DgbGMPkg">equilibrium points</a> of the system and approximating it as a linear system around each such point. </p>