Tautological Control Systems

  • Andrew D. Lewis

Part of the SpringerBriefs in Electrical and Computer Engineering book series (BRIEFSELECTRIC)

Also part of the SpringerBriefs in Control, Automation and Robotics book sub series (BRIEFSCONTROL)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Andrew D. Lewis
    Pages 1-20
  3. Andrew D. Lewis
    Pages 21-30
  4. Andrew D. Lewis
    Pages 97-106
  5. Andrew D. Lewis
    Pages 107-118

About this book

Introduction

This brief presents a description of a new modelling framework for nonlinear/geometric control theory. The framework is intended to be—and shown to be—feedback-invariant. As such, Tautological Control Systems provides a platform for understanding fundamental structural problems in geometric control theory. Part of the novelty of the text stems from the variety of regularity classes, e.g., Lipschitz, finitely differentiable, smooth, real analytic, with which it deals in a comprehensive and unified manner. The treatment of the important real analytic class especially reflects recent work on real analytic topologies by the author. Applied mathematicians interested in nonlinear and geometric control theory will find this brief of interest as a starting point for work in which feedback invariance is important. Graduate students working in control theory may also find Tautological Control Systems to be a stimulating starting point for their research.

Keywords

Finitely Differentiable Systems Geometric Control Theory Lipschitz Systems Locally Convex Topology Real Analytic Systems Smooth Systems

Authors and affiliations

  • Andrew D. Lewis
    • 1
  1. 1.Department of Mathematics and StatisticsQueen's UniversityKingstonCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-08638-5
  • Copyright Information The Author(s) 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-08637-8
  • Online ISBN 978-3-319-08638-5
  • Series Print ISSN 2191-8112
  • Series Online ISSN 2191-8120
  • About this book
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