New Trends in Control Theory.

New Trends in Control Theory is a graduate-level monographic textbook. It is a contemporary overview of modern trends in control theory. The introductory chapter gives the geometrical and quantum background, which is a necessary minimum for comprehensive reading of the book. The second chapter gives...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ivancevic, Vladimir G.
Otros Autores: Ivancevic, Tijana T.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific, 2012.
Colección:Series on Stability, Vibration & Control of Systems: Series A.
Temas:
Control theory.
Théorie de la commande.
MATHEMATICS > Probability & Statistics > General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Machine generated contents note: 1. Introduction
  • 1.1. Geometrical Preliminaries
  • 1.1.1. Variational Method of Classical Mechanics
  • 1.1.2. Lie Algebra Mechanics
  • 1.1.3. Covariant Dynamics Modelling
  • 1.1.4. Exterior Differential Forms
  • 1.1.5. Hodge Theory Basics
  • 1.1.6. Principal G-Bundles, Connections and G
  • Snakes
  • 1.1.7. Wei-Norman Exponential Method
  • 1.2. Quantum Preliminaries
  • 1.2.1. Basic Quantum Mechanics
  • 1.2.2. Basic Quantum Fields
  • 1.2.3. Wigner Function Basics
  • 1.2.4. Path Integral Quantization
  • 1.2.5. Gauge Path-Integral via Hodge Decomposition
  • 2. Basics of Classical Control Theory
  • 2.1. Linear Systems and Signals
  • 2.1.1. Laplace Transform and Transfer-Function Methods
  • 2.1.2. Fourier and Wavelet Transforms for Linear Signals
  • 2.1.3. Kalman's Modular State-Space and Filtering Methods
  • 2.1.4. Controllability of Linear Systems
  • 2.1.5. Stability of Linear Systems
  • 2.1.6. Naive Approaches to Nonlinear Systems
  • 2.2. Nonlinear Control Systems
  • 2.2.1. Command/Control in Human-Robot Interactions
  • 2.2.2. Nonlinear Controllability
  • 2.2.3. Basics of Geometric Nonlinear Control
  • 2.2.4. Lie-Derivative Based Nonlinear Feedback Control
  • 2.2.5. Hamiltonian Optimal Control and Maximum Principle
  • 2.2.6. Path-Integral Optimal Control of Stochastic Systems
  • 2.2.7. Fuzzy-Logic Control
  • 3. Euclidean Group in Modern Robotics and Biomechanics
  • 3.1. Introduction to Euclidean Group
  • 3.1.1. Euclidean Kinematics
  • 3.1.2. Basic Dynamics on SE(3)
  • 3.1.3. Coupled Newton-Euler Dynamics on SE(3)
  • 3.1.4. Introduction to Hamiltonian Biomechanics
  • 3.1.5. Library of Basic Hamiltonian Systems
  • 3.2. Euclidean Group in Modern Robotics
  • 3.2.1. Constructive Controllability for Motion on Lie Groups
  • 3.2.2. SE(3)-Group Control Example
  • 3.2.3. Examples of SE(3)-Subgroups Control.

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