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1. |
Record Nr. |
UNINA9910483435903321 |
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Autore |
Califano Claudia |
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Titolo |
Nonlinear time-delay systems : a geometric approach / / Claudia Califano, Claude H. Moog |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (x, 105 pages) |
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Collana |
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SpringerBriefs in Electrical and Computer Engineering. Control, Automation and Robotics |
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Disciplina |
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Soggetti |
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Time delay systems |
Nonlinear control theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 |
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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. |
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2. |
Record Nr. |
UNINA9910580211803321 |
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Autore |
Jódar Lucas |
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Titolo |
Mathematical Methods, Modelling and Applications |
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Pubbl/distr/stampa |
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Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
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Descrizione fisica |
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1 online resource (410 p.) |
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Soggetti |
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Mathematics and Science |
Research and information: general |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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This volume deals with novel high-quality research results of a wide class of mathematical models with applications in engineering, nature, and social sciences. Analytical and numeric, deterministic and uncertain dimensions are treated. Complex and multidisciplinary models are treated, including novel techniques of obtaining observation data and pattern recognition. Among the examples of treated problems, we encounter problems in engineering, social sciences, physics, biology, and health sciences. The novelty arises with respect to the mathematical treatment of the problem. Mathematical models are built, some of them under a deterministic approach, and other ones taking into account the uncertainty of the data, deriving random models. |
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Several resulting mathematical representations of the models are shown as equations and systems of equations of different types: difference equations, ordinary differential equations, partial differential equations, integral equations, and algebraic equations. Across the chapters of the book, a wide class of approaches can be found to solve the displayed mathematical models, from analytical to numeric techniques, such as finite difference schemes, finite volume methods, iteration schemes, and numerical integration methods. |
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