Advanced mathematical tools for automatic control engineers. Vol. 1, deterministic techniques [electronic resource]

• 作者： Poznyak, Alexander S.
• 其他作者：
  • ScienceDirect (Online service)
• 出版： Amsterdam ;Boston ;London : Elsevier
• 主題： Control theory , Electronic books.
• ISBN： 9780080446745 、 0080446744
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Includes bibliographical references (p. 763-765) and index. 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.
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• 摘要註: 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.
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