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

Author
Califano, Claudia [Browse]
Format
Book
Language
English
Published/​Created
  • Cham, Switzerland : Springer, [2021]
  • ©2021
Description
1 online resource (x, 105 pages).

Details

Subject(s)
Author
Series
  • SpringerBriefs in electrical and computer engineering. Control, automation and robotics. [More in this series]
  • SpringerBriefs in Electrical and Computer Engineering. Control, Automation and Robotics
Bibliographic references
Includes bibliographical references.
Source of description
Description based on print version record.
Contents
  • Intro
  • Preface
  • Contents
  • 1 Preliminaries
  • 1.1 The Class of Systems
  • 1.2 Integrability
  • 1.3 Geometric Behavior
  • 1.4 Accessibility and Observability Properties
  • 1.5 Notation
  • 1.6 Recalls on Non-commutative Algebra
  • 2 Geometric Tools for Time-Delay Systems
  • 2.1 The Initialization of the Time-Delay System Versus the Initialization of the Delay-Free Extended System
  • 2.2 Non-independence of the Inputs of the Extended System
  • 2.3 The Differential Form Representation
  • 2.4 Generalized Lie Derivative and Generalized Lie Bracket
  • 2.5 Some Remarks on the Polynomial Lie Bracket
  • 2.6 The Action of Changes of Coordinates
  • 2.7 The Action of Static State Feedback Laws
  • 2.8 Problems
  • 3 The Geometric Framework-Results on Integrability
  • 3.1 Some Remarks on Left and Right Integrability
  • 3.2 Integrability of a Right-Submodule
  • 3.2.1 Involutivity of a Right-Submodule Versus its Integrability
  • 3.2.2 Smallest 0-Integrable Right-Submodule Containing Δ(δ]
  • 3.2.3 p-Integrability
  • 3.2.4 Bicausal Change of Coordinates
  • 3.3 Integrability of a Left-Submodule
  • 3.4 Problems
  • 4 Accessibility of Nonlinear Time-Delay Systems
  • 4.1 The Accessibility Submodules in the Delay Context
  • 4.2 A Canonical Decomposition with Respect to Accessibility
  • 4.3 On the Computation of the Accessibility Submodules
  • 4.4 On t-Accessibility of Time-Delay Systems
  • 4.5 Problems
  • 5 Observability
  • 5.1 Decomposing with Respect to Observability
  • 5.1.1 The Case of Autonomous Systems
  • 5.2 On Regular Observability for Time-Delay Systems
  • 5.3 Problems
  • 6 Applications of Integrability
  • 6.1 Characterization of the Chained Form with Delays
  • 6.2 Input-Output Feedback Linearization
  • 6.2.1 Introductory Examples
  • 6.2.2 Static Output Feedback Solutions
  • 6.2.3 Hybrid Output Feedback Solutions
  • 6.3 Input-State Linearization.
  • 6.3.1 Introductory Example
  • 6.3.2 Solution
  • 6.4 Normal Form
  • 6.5 Problems
  • Series Editor Biographies
  • References.
ISBN
3-030-72026-8
OCLC
1253473308
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