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Advanced mathematical tools for automatic control engineers. Volume 1, Deterministic techniques /

This book provides a blend of Matrix and Linear Algebra Theory, Analysis, Differential Equations, Optimization, Optimal and Robust Control. It contains an advanced mathematical tool which serves as a fundamental basis for both instructors and students who study or actively work in Modern Automatic C...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Poznyak, Alexander S.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier, ©2008.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • I MATRICES AND RELATED TOPICS
  • 1 Determinants
  • 2 Matrices and Matrix Operations
  • 3 Eigenvalues and Eigenvectors
  • 4 Matrix Transformations
  • 5 Matrix Functions
  • 6 Moore-Penrose Pseudoinverse
  • 7 Hermitian and Quadratic Forms
  • 8 Linear Matrix Equations
  • 9 Stable Matrices and Polynomials
  • 10 Algebraic Riccati Equation
  • 11 Linear Matrix Inequalities
  • 12 Miscellaneous
  • II ANALYSIS
  • 13 The Real and Complex Number Systems
  • 14 Sets, Functions and Metric Spaces
  • 15 Integration
  • 16 Selected Topics of Real Analysis
  • 17 Complex Analysis
  • 18 Topics of Functional Analysis
  • III DIFFERENTIAL EQUATIONS AND OPTIMIZATION
  • 19 Ordinary Differential Equations
  • 20 Elements of Stability Theory
  • 21 Finite-Dimensional Optimization
  • 22 Variational Calculus and Optimal Control
  • 23 H2 and H[infinity] Optimization 811.