Download or read book The Autonomous Linear Quadratic Control Problem written by Volker L. Mehrmann and published by Springer. This book was released on 2014-03-12 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey is given on the state of the art in theory and numerical solution of general autonomous linear quadratic optimal control problems (continuous and discrete) with differential algebraic equation constraints. It incorporates the newest developments on differential algebraic equations, Riccati equations and invariant subspace problems. In particular, it gives a decision chart of numerical methods, that can be used to determine the right numerical method according to special properties of the problem. The book closes a gap between mathematical theory, numerical solution and engineering application. The mathematical tools are kept as basic as possible in order to address the different groups of readers, mathematicians and engineers.