Robust control : theory and applications / Kang-Zhi Liu, Yu Yao. 6

2.10.2 Positive Definite and Positive Semidefinite Matrices. 56

Includes bibliographical references and index.

Cover ; Title Page ; Copyright ; Dedication ; Contents ; Preface ; List of Abbreviations ; Notations ; Chapter 1 Introduction ; 1.1 Engineering Background of Robust Control ; 1.2 Methodologies of Robust Control ; 1.2.1 Small-Gain Approach ; 1.2.2 Positive Real Method.;1.2.3 Lyapunov Method 1.2.4 Robust Regional Pole Placement ; 1.2.5 Gain Scheduling ; 1.3 A Brief History of Robust Control ; Chapter 2 Basics of Linear Algebra and Function Analysis ; 2.1 Trace, Determinant, Matrix Inverse, and Block Matrix.;2.2 Elementary Linear Transformation of Matrix and Its Matrix Description 2.3 Linear Vector Space ; 2.3.1 Linear Independence ; 2.3.2 Dimension and Basis ; 2.3.3 Coordinate Transformation ; 2.4 Norm and Inner Product of Vector ; 2.4.1 Vector Norm ; 2.4.2 Inner Product of Vector.;2.5 Linear Subspace 2.5.1 Subspace ; 2.6 Matrix and Linear Mapping ; 2.6.1 Image and Kernel Space ; 2.6.2 Similarity Transformation of Matrix ; 2.6.3 Rank of Matrix ; 2.6.4 Linear Algebraic Equation ; 2.7 Eigenvalue and Eigenvector ; 2.8 Invariant Subspace.;2.8.1 Mapping Restricted in Invariant Subspace 2.8.2 Invariant Subspace over Rn ; 2.8.3 Diagonalization of Hermitian/Symmetric Matrix ; 2.9 Pseudo-Inverse and Linear Matrix Equation ; 2.10 Quadratic Form and Positive Definite Matrix ; 2.10.1 Quadratic Form and Energy Function.

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