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

• Autore: Califano Claudia
• Pubblicazione: Cham, Switzerland : , : Springer, , [2021]; ©2021
• Descrizione fisica: 1 online resource (x, 105 pages)
• Disciplina: 629.83
• Soggetto topico: Time delay systems; Nonlinear control theory
• Persona (resp. second.): MoogC. H. <1955->
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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.
• Titolo autorizzato: Nonlinear Time-Delay Systems
• ISBN: 3-030-72026-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910483435903321
• Lo trovi qui: Univ. Federico II
• Serie: SpringerBriefs in electrical and computer engineering. . -Control, automation and robotics.