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Deterministic techniques [[electronic resource] /] / Alexander S. Poznyak
| Deterministic techniques [[electronic resource] /] / Alexander S. Poznyak |
| Autore | Poznyak Alexander S |
| Pubbl/distr/stampa | Amsterdam, : Elsevier, 2008- |
| Descrizione fisica | 1 online resource (803 p.) |
| Disciplina | 629.8312 |
| Collana | Advanced mathematical tools for automatic control engineers |
| Soggetto topico |
Automatic control - Mathematics
Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-17210-3
9786611172107 0-08-055610-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
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 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; 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 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 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 12.5 Kantorovich Matrix Inequality |
| Record Nr. | UNINA-9910458397803321 |
Poznyak Alexander S
|
||
| Amsterdam, : Elsevier, 2008- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deterministic techniques [[electronic resource] /] / Alexander S. Poznyak
| Deterministic techniques [[electronic resource] /] / Alexander S. Poznyak |
| Autore | Poznyak Alexander S |
| Pubbl/distr/stampa | Amsterdam, : Elsevier, 2008- |
| Descrizione fisica | 1 online resource (803 p.) |
| Disciplina | 629.8312 |
| Collana | Advanced mathematical tools for automatic control engineers |
| Soggetto topico |
Automatic control - Mathematics
Mathematics |
| ISBN |
1-281-17210-3
9786611172107 0-08-055610-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
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 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; 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 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 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 12.5 Kantorovich Matrix Inequality |
| Record Nr. | UNINA-9910784623003321 |
|
Poznyak Alexander S
|
||
| Amsterdam, : Elsevier, 2008- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deterministic techniques / / Alexander S. Poznyak
| Deterministic techniques / / Alexander S. Poznyak |
| Autore | Poznyak Alexander S |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam, : Elsevier, 2008- |
| Descrizione fisica | 1 online resource (803 p.) |
| Disciplina |
629.8312
629.83120151 |
| Collana | Advanced mathematical tools for automatic control engineers |
| Soggetto topico |
Automatic control - Mathematics
Mathematics |
| ISBN |
1-281-17210-3
9786611172107 0-08-055610-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
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 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; 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 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 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 12.5 Kantorovich Matrix Inequality |
| Record Nr. | UNINA-9910815549603321 |
|
Poznyak Alexander S
|
||
| Amsterdam, : Elsevier, 2008- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential neural networks for robust nonlinear control [[electronic resource] ] : identification, state estimation and trajectory tracking / / Alexander S. Poznyak, Edgar N. Sanchez, Wen Yu
| Differential neural networks for robust nonlinear control [[electronic resource] ] : identification, state estimation and trajectory tracking / / Alexander S. Poznyak, Edgar N. Sanchez, Wen Yu |
| Autore | Poznyak Alexander S |
| Pubbl/distr/stampa | Singapore ; ; River Edge NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (455 p.) |
| Disciplina | 006.32 |
| Altri autori (Persone) |
YuWen, profesor titular
SanchezEdgar N |
| Soggetto topico |
Neural networks (Computer science)
Nonlinear control theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-95673-2
9786611956738 981-281-129-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; 0.1 Abstract ; 0.2 Preface ; 0.3 Acknowledgments ; 0.4 Introduction ; 0.4.1 Guide for the Readers ; 0.5 Notations ; I Theoretical Study ; 1 Neural Networks Structures ; 1.1 Introduction ; 1.2 Biological Neural Networks ; 1.3 Neuron Model
1.4 Neural Networks Structures 1.4.1 Single-Layer Feedforward Networks ; 1.4.2 Multilayer Feedforward Neural Networks ; 1.4.3 Radial Basis Function Neural Networks ; 1.4.4 Recurrent Neural Networks ; 1.4.5 Differential Neural Networks ; 1.5 Neural Networks in Control 1.5.1 Identification 1.5.2 Control ; 1.6 Conclusions ; 1.7 References ; 2 Nonlinear System Identification: Differential Learning ; 2.1 Introduction ; 2.2 Identification Error Stability Analysis for Simplest Differential Neural Networks without Hidden Layers 2.2.1 Nonlinear System and Differential Neural Network Model 2.2.2 Exact Neural Network Matching with Known Linear Part ; 2.2.3 Non-exact Neural Networks Modelling: Bounded Unmodelled Dynamics Case 2.2.4 Estimation of Maximum Value of Identification Error for Nonlinear Systems with Bounded Unmodelled Dynamics 2.3 Multilayer Differential Neural Networks for Nonlinear System On-line Identification ; 2.3.1 Multilayer Structure of Differential Neural Networks 2.3.2 Complete Model Matching Case |
| Record Nr. | UNINA-9910454368603321 |
|
Poznyak Alexander S
|
||
| Singapore ; ; River Edge NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential neural networks for robust nonlinear control [[electronic resource] ] : identification, state estimation and trajectory tracking / / Alexander S. Poznyak, Edgar N. Sanchez, Wen Yu
| Differential neural networks for robust nonlinear control [[electronic resource] ] : identification, state estimation and trajectory tracking / / Alexander S. Poznyak, Edgar N. Sanchez, Wen Yu |
| Autore | Poznyak Alexander S |
| Pubbl/distr/stampa | Singapore ; ; River Edge NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (455 p.) |
| Disciplina | 006.32 |
| Altri autori (Persone) |
YuWen, profesor titular
SanchezEdgar N |
| Soggetto topico |
Neural networks (Computer science)
Nonlinear control theory |
| ISBN |
1-281-95673-2
9786611956738 981-281-129-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; 0.1 Abstract ; 0.2 Preface ; 0.3 Acknowledgments ; 0.4 Introduction ; 0.4.1 Guide for the Readers ; 0.5 Notations ; I Theoretical Study ; 1 Neural Networks Structures ; 1.1 Introduction ; 1.2 Biological Neural Networks ; 1.3 Neuron Model
1.4 Neural Networks Structures 1.4.1 Single-Layer Feedforward Networks ; 1.4.2 Multilayer Feedforward Neural Networks ; 1.4.3 Radial Basis Function Neural Networks ; 1.4.4 Recurrent Neural Networks ; 1.4.5 Differential Neural Networks ; 1.5 Neural Networks in Control 1.5.1 Identification 1.5.2 Control ; 1.6 Conclusions ; 1.7 References ; 2 Nonlinear System Identification: Differential Learning ; 2.1 Introduction ; 2.2 Identification Error Stability Analysis for Simplest Differential Neural Networks without Hidden Layers 2.2.1 Nonlinear System and Differential Neural Network Model 2.2.2 Exact Neural Network Matching with Known Linear Part ; 2.2.3 Non-exact Neural Networks Modelling: Bounded Unmodelled Dynamics Case 2.2.4 Estimation of Maximum Value of Identification Error for Nonlinear Systems with Bounded Unmodelled Dynamics 2.3 Multilayer Differential Neural Networks for Nonlinear System On-line Identification ; 2.3.1 Multilayer Structure of Differential Neural Networks 2.3.2 Complete Model Matching Case |
| Record Nr. | UNINA-9910782393603321 |
|
Poznyak Alexander S
|
||
| Singapore ; ; River Edge NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential neural networks for robust nonlinear control : identification, state estimation and trajectory tracking / / Alexander S. Poznyak, Edgar N. Sanchez, Wen Yu
| Differential neural networks for robust nonlinear control : identification, state estimation and trajectory tracking / / Alexander S. Poznyak, Edgar N. Sanchez, Wen Yu |
| Autore | Poznyak Alexander S |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (455 p.) |
| Disciplina | 006.32 |
| Altri autori (Persone) |
YuWen, profesor titular
SanchezEdgar N |
| Soggetto topico |
Neural networks (Computer science)
Nonlinear control theory |
| ISBN |
1-281-95673-2
9786611956738 981-281-129-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; 0.1 Abstract ; 0.2 Preface ; 0.3 Acknowledgments ; 0.4 Introduction ; 0.4.1 Guide for the Readers ; 0.5 Notations ; I Theoretical Study ; 1 Neural Networks Structures ; 1.1 Introduction ; 1.2 Biological Neural Networks ; 1.3 Neuron Model
1.4 Neural Networks Structures 1.4.1 Single-Layer Feedforward Networks ; 1.4.2 Multilayer Feedforward Neural Networks ; 1.4.3 Radial Basis Function Neural Networks ; 1.4.4 Recurrent Neural Networks ; 1.4.5 Differential Neural Networks ; 1.5 Neural Networks in Control 1.5.1 Identification 1.5.2 Control ; 1.6 Conclusions ; 1.7 References ; 2 Nonlinear System Identification: Differential Learning ; 2.1 Introduction ; 2.2 Identification Error Stability Analysis for Simplest Differential Neural Networks without Hidden Layers 2.2.1 Nonlinear System and Differential Neural Network Model 2.2.2 Exact Neural Network Matching with Known Linear Part ; 2.2.3 Non-exact Neural Networks Modelling: Bounded Unmodelled Dynamics Case 2.2.4 Estimation of Maximum Value of Identification Error for Nonlinear Systems with Bounded Unmodelled Dynamics 2.3 Multilayer Differential Neural Networks for Nonlinear System On-line Identification ; 2.3.1 Multilayer Structure of Differential Neural Networks 2.3.2 Complete Model Matching Case |
| Record Nr. | UNINA-9910816004603321 |
|
Poznyak Alexander S
|
||
| Singapore ; ; River Edge NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||