Positive 1D and 2D Systems

  • Tadeusz¬†Kaczorek

Part of the Communications and Control Engineering book series (CCE)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Tadeusz Kaczorek
    Pages 1-49
  3. Tadeusz Kaczorek
    Pages 173-240
  4. Tadeusz Kaczorek
    Pages 241-273
  5. Tadeusz Kaczorek
    Pages 311-366
  6. Back Matter
    Pages 367-431

About this book


In the last decade a dynamic development in positive systems has been observed. Roughly speaking, positive systems are systems whose inputs, state variables and outputs take only nonnegative values. Examples of positive systems are industrial processes involving chemical reactors, heat exchangers and distillation columns, storage systems, compartmental systems, water and atmospheric pollution models. A variety of models having positive linear system behaviour can be found in engineering, management science, economics, social sciences, biology and medicine, etc. The basic mathematical tools for analysis and synthesis of linear systems are linear spaces and the theory of linear operators. Positive linear systems are defined on cones and not on linear spaces. This is why the theory of positive systems is more complicated and less advanced. The theory of positive systems has some elements in common with theories of linear and non-linear systems. Schematically the relationship between the theories of linear, non-linear and positive systems is shown in the following figure Figure 1.


1D Linear Systems 2D Linear Systems Applied Mathematics Control Systems Theory Discrete-time systems Monte Carlo Method Positive Continuous-time systems algorithms calculus complexity

Authors and affiliations

  • Tadeusz¬†Kaczorek
    • 1
  1. 1.Institute of Control and Industrial Electronics, Faculty of Electrical EngineeringWarsaw University of TechnologyWarsawPoland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag London Limited 2002
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4471-1097-2
  • Online ISBN 978-1-4471-0221-2
  • Series Print ISSN 0178-5354
  • Buy this book on publisher's site