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[null,"1.","Record Nr.",null,"UNINA9910784623003321"]
[null,null,"Autore",null,"Poznyak Alexander S"]
[null,null,"Titolo",null,"Deterministic techniques [[electronic resource] /] / Alexander S. Poznyak"]
[null,null,"Pubbl/distr/stampa",null,"Amsterdam, : Elsevier, 2008-"]
[null,null,"ISBN",null,"1-281-17210-3"]
[{"$nulls":4},"9786611172107"]
[{"$nulls":4},"0-08-055610-8"]
[null,null,"Descrizione fisica",null,"1 online resource (803 p.)"]
[null,null,"Collana",null,"Advanced mathematical tools for automatic control engineers ; ; 1"]
[null,null,"Disciplina",null,"629.8312"]
[null,null,"Soggetti",null,"Automatic control - Mathematics"]
[{"$nulls":4},"Mathematics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes index."]
[null,null,"Nota di contenuto",null,"Front Cover; Advanced Mathematical Tools for Automatic Control Engineers; Copyright Page; Table of Contents; Preface; Notations and Symbols; List of Figures; Part I: Matrices and Related Topics; Chapter 1. Determinants; 1.1 Basic Definitions; 1.2 Properties of Numerical Determinants, Minors and Cofactors; 1.3 Linear Algebraic Equations and the Existence of Solutions; Chapter 2. Matrices and Matrix Operations; 2.1 Basic Definitions; 2.2 Some Matrix Properties; 2.3 Kronecker Product; 2.4 Submatrices, Partitioning of Matrices and Schur's Formulas; 2.5 Elementary Transformations on Matrices"]
[{"$nulls":4},"2.6 Rank of a Matrix2.7 Trace of a Quadratic Matrix; Chapter 3. Eigenvalues and Eigenvectors; 3.1 Vectors and Linear Subspaces; 3.2 Eigenvalues and Eigenvectors; 3.3 The Cayley-Hamilton Theorem; 3.4 The Multiplicities and Generalized Eigenvectors; Chapter 4. Matrix Transformations; 4.1 Spectral Theorem for Hermitian Matrices; 4.2 Matrix Transformation to the Jordan Form; 4.3 Polar and Singular-Value Decompositions; 4.4 Congruent Matrices and the Inertia of a Matrix; 4.5 Cholesky Factorization; Chapter 5. Matrix Functions; 5.1 Projectors; 5.2 Functions of a Matrix"]
[{"$nulls":4},"5.3 The Resolvent for a Matrix5.4 Matrix Norms; Chapter 6. Moore-Penrose Pseudoinverse; 6.1 Classical Least Squares Problem; 6.2 Pseudoinverse Characterization; 6.3 Criterion for Pseudoinverse Checking; 6.4 Some Identities for Pseudoinverse Matrices; 6.5 Solution of Least Squares Problem Using Pseudoinverse; 6.6 Cline's Formulas; "]
[{"$nulls":4},"6.7 Pseudo-Ellipsoids; Chapter 7. Hermitian and Quadratic Forms; 7.1 Definitions; 7.2 Nonnegative Definite Matrices; 7.3 Sylvester Criterion; 7.4 The Simultaneous Transformation of a Pair of Quadratic Forms; 7.5 Simultaneous Reduction of more than Two Quadratic Forms"]
[{"$nulls":4},"7.6 A Related Maximum-Minimum Problem7.7 The Ratio of Two Quadratic Forms; Chapter 8. Linear Matrix Equations; 8.1 General Type of Linear Matrix Equation; 8.2 Sylvester Matrix Equation; 8.3 Lyapunov Matrix Equation; Chapter 9. Stable Matrices and Polynomials; 9.1 Basic Definitions; 9.2 Lyapunov Stability; 9.3 Necessary Condition of the Matrix Stability; 9.4 The Routh-Hurwitz Criterion; 9.5 The Liénard-Chipart Criterion; 9.6 Geometric Criteria; 9.7 Polynomial Robust Stability; 9.8 Controllable, Stabilizable, Observable and Detectable Pairs; Chapter 10. Algebraic Riccati Equation"]
[{"$nulls":4},"10.1 Hamiltonian Matrix10.2 All Solutions of the Algebraic Riccati Equation; 10.3 Hermitian and Symmetric Solutions; 10.4 Nonnegative Solutions; Chapter 11. Linear Matrix Inequalities; 11.1 Matrices as Variables and LMI Problem; 11.2 Nonlinear Matrix Inequalities Equivalent to LMI; 11.3 Some Characteristics of Linear Stationary Systems (LSS); 11.4 Optimization Problems with LMI Constraints; 11.5 Numerical Methods for LMI Resolution; Chapter 12. Miscellaneous; 12.1 Lambda-Matrix Inequalities; 12.2 Matrix Abel Identities; 12.3 S-Procedure and Finsler Lemma; 12.4 Farkaš Lemma"]
[{"$nulls":4},"12.5 Kantorovich Matrix Inequality"]
[null,null,null,"Sommario/riassunto","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 A"]