Nonlinear time-delay systems

Nonlinear time-delay systems: a geometric approach

by Califano, Claudia

Type Book
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This brief focuses on the structural properties of nonlinear time-delay systems. It provides a link between coverage of fundamental theoretical properties and advanced control algorithms, as well as suggesting a path for the generalization of the differential geometric approach to time-delay systems . The brief begins with an introduction to a class of single-input nonlinear time-delay systems. It then focuses on geometric methods treating them and offers a geometric framework for integrability…

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Title Statements

  • Full title :Nonlinear time-delay systems : a geometric approach / Claudia Califano, Claude H. Moog.

Summary

This brief focuses on the structural properties of nonlinear time-delay systems. It provides a link between coverage of fundamental theoretical properties and advanced control algorithms, as well as suggesting a path for the generalization of the differential geometric approach to time-delay systems . The brief begins with an introduction to a class of single-input nonlinear time-delay systems. It then focuses on geometric methods treating them and offers a geometric framework for integrability. The book has chapters dedicated to the accessibility and observability of nonlinear time-delay systems, allowing readers to understand the systems in a well-ordered, structured way. Finally, the brief concludes with applications of integrability and the control of single-input time-delay systems. This brief employs exercises and examples to familiarize readers with the time-delay context. It is of interest to researchers, engineers and postgraduate students who work in the area of nonlinear control systems.

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Edition Statements

  • Publication Date:2021.

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Cham
  • Language:eng
  • Publication Date:2021.

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9783030720261, 3030720268
  • DOI:10.1007/978-3-030-72026-1
  • oclc:on1253473308
  • LC Classification:TJ223.T5
  • Dewey Decimal:629.8/3

Table of Contents

Chapter 1. Introduction -- Chapter 2. Geometric Tools for Time Delay Systems -- Chapter 3. The Geometric Framework: results on Integrability -- Chapter 4. Accessibility of Nonlinear Time-Delay Systems -- Chapter 5. On the Geometric Interpretation of the Polynomial Lie Bracket -- Chapter 6. Observability -- Chapter 7. Characterization of the Chain Form with Delays -- Chapter 8. Applications of Integrability -- Chapter 9. Control of Single-Input Time Delay Systems.

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