About this book

Introduction

This research monograph gives a complete discussion of the theory of the discrete-time hyperbolic map. Both scalar and matrix representations are considered. The dynamics of the map are analyzed and discussions of stability, quasiperiodicity, and chaos are included. Several applications are discusssed, the most important being the discrete-time linear time-invariant quadratic regulator. The results obtained from this analysis are then extended to the continuous-time linear regulator. A discussion of the linear quadratic regulator with negative state weighting provides some important insights into the general regulator theory. The results contained in this monograph should be accessible to the first year graduate student or advanced senior undergraduate. Interested readers should also have a background in ODE's, difference equations, optimization theory, and/or digital control theory.

Keywords

Nichtlineare Differentialgleichungen Optimale Regelung Regelung Regelungstheorie chaos control control theory optimal control optimization stability

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0042968
  • Copyright Information Springer-Verlag New York Inc. 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-96741-5
  • Online ISBN 978-3-540-40900-7
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • About this book