About this book


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.


Algebra Algebraische Differentialgleichung Differentialgleichung Newton's method Numerische Mathematik algorithm algorithms control feedback numerical methods optimal control stability transformation

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0039443
  • Copyright Information Springer-Verlag 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-54170-7
  • Online ISBN 978-3-540-47482-1
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • About this book