Advanced mathematical tools for auto...
Poznyak, Alexander S.

 

  • Advanced mathematical tools for automatic control engineers.[electronic resource] /Vol. 1,deterministic techniques
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 629.8312
    書名/作者: Advanced mathematical tools for automatic control engineers./ Alexander S. Poznyak.
    作者: Poznyak, Alexander S.
    出版者: Amsterdam ; : Elsevier,, 2008.
    面頁冊數: 774 p. : : ill. ;; 25 cm.
    標題: Control theory.
    ISBN: 9780080446745
    ISBN: 0080446744
    書目註: Includes bibliographical references (p. 763-765) and index.
    內容註: 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.
    摘要、提要註: 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 Control or in its applications. It is includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers, and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to System and Automatic Control Theories * Provides comprehensive theory of matrices, real, complex and functional analysis * Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications * Contains worked proofs of all theorems and propositions presented.
    電子資源: An electronic book accessible through the World Wide Web; click for information
    電子資源: An electronic book accessible through the World Wide Web; click for information
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