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Advanced mathematical tools for automatic control engineers. Vol. 1, Deterministic techniques / Alexander S. Poznyak.

By: Material type: TextTextPublisher: Amsterdam ; Boston ; London : Elsevier, 2008Description: 774 pages : illustrations ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0080446744
  • 9780080446745
Other title:
  • Deterministic techniques [Portion of title]
Subject(s): DDC classification:
  • 629.8312 22
LOC classification:
  • QA402.3 .P688 2008
Contents:
Part 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 -- Part 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 -- Part 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.
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Includes bibliographical references (pages 763-765) and index.

Part 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 -- Part 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 -- Part 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.

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