MENÜ MENÜ  

cover

Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations

Norman Lang

ISBN 978-3-8325-4700-4
228 pages, year of publication: 2018
price: 46.00 €
Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations
This thesis is concerned with the linear-quadratic optimal control and model order reduction (MOR) of large-scale linear time-varying (LTV) control systems. In the first two parts, particular attention is paid to a tracking-type finite-time optimal control problem with application to an inverse heat conduction problem and the balanced truncation (BT) MOR method for LTV systems. In both fields of application the efficient solution of differential matrix equations (DMEs) is of major importance.

The third and largest part deals with the application of implicit time integration methods to these matrix-valued ordinary differential equations. In this context, in particular, the rather new class of peer methods is introduced. Further, for the efficient solution of large-scale DMEs, in practice low-rank solution strategies are inevitable. Here, low-rank time integrators, based on a symmetric indefinte factored representation of the right hand sides and the solution approximations of the DMEs, are presented. In contrast to the classical low-rank Cholesky-type factorization, this avoids complex arithmetic and tricky implementations and algorithms. Both low-rank approaches are compared for numerous implicit time integration methods.

cover cover cover cover cover cover cover cover cover
Table of contents (PDF)

Keywords:

  • Large-Scale Control Systems
  • Linear Time-Varying
  • Differential Matrix Equations
  • Low-Rank Factorizations
  • Model Order Reduction

BUYING OPTIONS

46.00 €
in stock

39.50 €
56.00 €
60.00 €

(D) = Within Germany
(W) = Abroad

You can purchase the eBook (PDF) alone or combined with the printed book (Bundle). In both cases we use the payment service of PayPal for charging you - nevertheless it is not necessary to have a PayPal-account. With purchasing the eBook or eBundle you accept our licence for eBooks.

For multi-user or campus licences (MyLibrary) please fill in the form or write an email to order@logos-verlag.de