Table of contents

About this book

Introduction

Orthogonal Functions may be divided into two classes. The class of continuous systems and the discontinuous class of piecewise constant systems. Problems arise because continuous systems form an unsatisfactory basis for the expansion of functions containing discontinuities whilst piecewise constant systems insert artificial discontinuities into all representations. Since these two classes of functions would be unsuccessful in coping with functions that possess both continuity and discontinuity we must look to General Hybrid Orthogonal Functions (GHOF) which have been shown to be the most appropriate in such situations. This book introduces the system of GHOF, discusses its properties, develops an operational algebra for the discretization of continuous dynamic systems on the system of GHOF and illustrates its use as a flexible and powerful framework of computational tools in a wide range of systems and control.

Keywords

algebra control dynamical systems identification

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0027725
  • Copyright Information Springer-Verlag 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-76039-9
  • Online ISBN 978-3-540-40950-2
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • About this book