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An Introduction to Infinite-Dimensional Linear Systems Theory [[electronic resource] /] / by Ruth F. Curtain, Hans Zwart
| An Introduction to Infinite-Dimensional Linear Systems Theory [[electronic resource] /] / by Ruth F. Curtain, Hans Zwart |
| Autore | Curtain Ruth F |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XVIII, 698 p.) |
| Disciplina | 515 |
| Collana | Texts in Applied Mathematics |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) Analysis |
| ISBN | 1-4612-4224-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction -- 1.1 Motivation -- 1.2 Systems theory concepts in finite dimensions -- 1.3 Aims of this book -- 2 Semigroup Theory -- 2.1 Strongly continuous semigroups -- 2.2 Contraction and dual semigroups -- 2.3 Riesz-spectral operators -- 2.4 Delay equations -- 2.5 Invariant subspaces -- 2.6 Exercises -- 2.7 Notes and references -- 3 The Cauchy Problem -- 3.1 The abstract Cauchy problem -- 3.2 Perturbations and composite systems -- 3.3 Boundary control systems -- 3.4 Exercises -- 3.5 Notes and references -- 4 Inputs and Outputs -- 4.1 Controllability and observability -- 4.2 Tests for approximate controllability and observability -- 4.3 Input-output maps -- 4.4 Exercises -- 4.5 Notes and references -- 5 Stability, Stabilizability, and Detectability -- 5.1 Exponential stability -- 5.2 Exponential stabilizability and detectability -- 5.3 Compensator design -- 5.4 Exercises -- 5.5 Notes and references -- 6 Linear Quadratic Optimal Control -- 6.1 The problem on a finite-time interval -- 6.2 The problem on the infinite-time interval -- 6.3 Exercises -- 6.4 Notes and references -- 7 Frequency-Domain Descriptions -- 7.1 The Callier-Desoer class of scalar transfer functions -- 7.2 The multivariable extension -- 7.3 State-space interpretations -- 7.4 Exercises -- 7.5 Notes and references -- 8 Hankel Operators and the Nehari Problem -- 8.1 Frequency-domain formulation -- 8.2 Hankel operators in the time domain -- 8.3The Nehari extension problem for state linear systems -- 8.4 Exercises -- 8.5 Notes and references -- 9 Robust Finite-Dimensional Controller Synthesis -- 9.1 Closed-loop stability and coprime factorizations -- 9.2 Robust stabilization of uncertain systems -- 9.3 Robust stabilization under additive uncertainty -- 9.4 Robust stabilization under normalized left-coprime-factor uncertainty -- 9.5 Robustness in the presence of small delays -- 9.6 Exercises -- 9.7 Notes and references -- A. Mathematical Background -- A.1 Complex analysis -- A.2 Normed linear spaces -- A.2.1 General theory -- A.2.2 Hilbert spaces -- A.3 Operators on normed linear spaces -- A.3.1 General theory -- A.3.2 Operators on Hilbert spaces -- A.4 Spectral theory -- A.4.1 General spectral theory -- A.4.2 Spectral theory for compact normal operators -- A.5 Integration and differentiation theory -- A.5.1 Integration theory -- A.5.2 Differentiation theory -- A.6 Frequency-domain spaces -- A.6.1 Laplace and Fourier transforms -- A.6.2 Frequency-domain spaces -- A.6.3 The Hardy spaces -- A.7 Algebraic concepts -- A.7.1 General definitions -- A.7.2 Coprime factorizations over principal ideal domains -- A.7.3 Coprime factorizations over commutative integral domains -- References -- Notation. |
| Record Nr. | UNINA-9910480219203321 |
Curtain Ruth F
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Introduction to Infinite-Dimensional Linear Systems Theory [[electronic resource] /] / by Ruth F. Curtain, Hans Zwart
| An Introduction to Infinite-Dimensional Linear Systems Theory [[electronic resource] /] / by Ruth F. Curtain, Hans Zwart |
| Autore | Curtain Ruth F |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XVIII, 698 p.) |
| Disciplina | 515 |
| Collana | Texts in Applied Mathematics |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) Analysis |
| ISBN | 1-4612-4224-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction -- 1.1 Motivation -- 1.2 Systems theory concepts in finite dimensions -- 1.3 Aims of this book -- 2 Semigroup Theory -- 2.1 Strongly continuous semigroups -- 2.2 Contraction and dual semigroups -- 2.3 Riesz-spectral operators -- 2.4 Delay equations -- 2.5 Invariant subspaces -- 2.6 Exercises -- 2.7 Notes and references -- 3 The Cauchy Problem -- 3.1 The abstract Cauchy problem -- 3.2 Perturbations and composite systems -- 3.3 Boundary control systems -- 3.4 Exercises -- 3.5 Notes and references -- 4 Inputs and Outputs -- 4.1 Controllability and observability -- 4.2 Tests for approximate controllability and observability -- 4.3 Input-output maps -- 4.4 Exercises -- 4.5 Notes and references -- 5 Stability, Stabilizability, and Detectability -- 5.1 Exponential stability -- 5.2 Exponential stabilizability and detectability -- 5.3 Compensator design -- 5.4 Exercises -- 5.5 Notes and references -- 6 Linear Quadratic Optimal Control -- 6.1 The problem on a finite-time interval -- 6.2 The problem on the infinite-time interval -- 6.3 Exercises -- 6.4 Notes and references -- 7 Frequency-Domain Descriptions -- 7.1 The Callier-Desoer class of scalar transfer functions -- 7.2 The multivariable extension -- 7.3 State-space interpretations -- 7.4 Exercises -- 7.5 Notes and references -- 8 Hankel Operators and the Nehari Problem -- 8.1 Frequency-domain formulation -- 8.2 Hankel operators in the time domain -- 8.3The Nehari extension problem for state linear systems -- 8.4 Exercises -- 8.5 Notes and references -- 9 Robust Finite-Dimensional Controller Synthesis -- 9.1 Closed-loop stability and coprime factorizations -- 9.2 Robust stabilization of uncertain systems -- 9.3 Robust stabilization under additive uncertainty -- 9.4 Robust stabilization under normalized left-coprime-factor uncertainty -- 9.5 Robustness in the presence of small delays -- 9.6 Exercises -- 9.7 Notes and references -- A. Mathematical Background -- A.1 Complex analysis -- A.2 Normed linear spaces -- A.2.1 General theory -- A.2.2 Hilbert spaces -- A.3 Operators on normed linear spaces -- A.3.1 General theory -- A.3.2 Operators on Hilbert spaces -- A.4 Spectral theory -- A.4.1 General spectral theory -- A.4.2 Spectral theory for compact normal operators -- A.5 Integration and differentiation theory -- A.5.1 Integration theory -- A.5.2 Differentiation theory -- A.6 Frequency-domain spaces -- A.6.1 Laplace and Fourier transforms -- A.6.2 Frequency-domain spaces -- A.6.3 The Hardy spaces -- A.7 Algebraic concepts -- A.7.1 General definitions -- A.7.2 Coprime factorizations over principal ideal domains -- A.7.3 Coprime factorizations over commutative integral domains -- References -- Notation. |
| Record Nr. | UNINA-9910789221403321 |
|
Curtain Ruth F
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Introduction to Infinite-Dimensional Linear Systems Theory / / by Ruth F. Curtain, Hans Zwart
| An Introduction to Infinite-Dimensional Linear Systems Theory / / by Ruth F. Curtain, Hans Zwart |
| Autore | Curtain Ruth F |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XVIII, 698 p.) |
| Disciplina | 515 |
| Collana | Texts in Applied Mathematics |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) Analysis |
| ISBN | 1-4612-4224-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction -- 1.1 Motivation -- 1.2 Systems theory concepts in finite dimensions -- 1.3 Aims of this book -- 2 Semigroup Theory -- 2.1 Strongly continuous semigroups -- 2.2 Contraction and dual semigroups -- 2.3 Riesz-spectral operators -- 2.4 Delay equations -- 2.5 Invariant subspaces -- 2.6 Exercises -- 2.7 Notes and references -- 3 The Cauchy Problem -- 3.1 The abstract Cauchy problem -- 3.2 Perturbations and composite systems -- 3.3 Boundary control systems -- 3.4 Exercises -- 3.5 Notes and references -- 4 Inputs and Outputs -- 4.1 Controllability and observability -- 4.2 Tests for approximate controllability and observability -- 4.3 Input-output maps -- 4.4 Exercises -- 4.5 Notes and references -- 5 Stability, Stabilizability, and Detectability -- 5.1 Exponential stability -- 5.2 Exponential stabilizability and detectability -- 5.3 Compensator design -- 5.4 Exercises -- 5.5 Notes and references -- 6 Linear Quadratic Optimal Control -- 6.1 The problem on a finite-time interval -- 6.2 The problem on the infinite-time interval -- 6.3 Exercises -- 6.4 Notes and references -- 7 Frequency-Domain Descriptions -- 7.1 The Callier-Desoer class of scalar transfer functions -- 7.2 The multivariable extension -- 7.3 State-space interpretations -- 7.4 Exercises -- 7.5 Notes and references -- 8 Hankel Operators and the Nehari Problem -- 8.1 Frequency-domain formulation -- 8.2 Hankel operators in the time domain -- 8.3The Nehari extension problem for state linear systems -- 8.4 Exercises -- 8.5 Notes and references -- 9 Robust Finite-Dimensional Controller Synthesis -- 9.1 Closed-loop stability and coprime factorizations -- 9.2 Robust stabilization of uncertain systems -- 9.3 Robust stabilization under additive uncertainty -- 9.4 Robust stabilization under normalized left-coprime-factor uncertainty -- 9.5 Robustness in the presence of small delays -- 9.6 Exercises -- 9.7 Notes and references -- A. Mathematical Background -- A.1 Complex analysis -- A.2 Normed linear spaces -- A.2.1 General theory -- A.2.2 Hilbert spaces -- A.3 Operators on normed linear spaces -- A.3.1 General theory -- A.3.2 Operators on Hilbert spaces -- A.4 Spectral theory -- A.4.1 General spectral theory -- A.4.2 Spectral theory for compact normal operators -- A.5 Integration and differentiation theory -- A.5.1 Integration theory -- A.5.2 Differentiation theory -- A.6 Frequency-domain spaces -- A.6.1 Laplace and Fourier transforms -- A.6.2 Frequency-domain spaces -- A.6.3 The Hardy spaces -- A.7 Algebraic concepts -- A.7.1 General definitions -- A.7.2 Coprime factorizations over principal ideal domains -- A.7.3 Coprime factorizations over commutative integral domains -- References -- Notation. |
| Record Nr. | UNINA-9910829176803321 |
|
Curtain Ruth F
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to Infinite-Dimensional Systems Theory [[electronic resource] ] : A State-Space Approach / / by Ruth Curtain, Hans Zwart
| Introduction to Infinite-Dimensional Systems Theory [[electronic resource] ] : A State-Space Approach / / by Ruth Curtain, Hans Zwart |
| Autore | Curtain Ruth |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XII, 752 p. 37 illus.) |
| Disciplina | 003 |
| Collana | Texts in Applied Mathematics |
| Soggetto topico |
System theory
Control engineering Systems Theory, Control Control and Systems Theory |
| ISBN | 1-0716-0590-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Semigroup Theory -- Classes of Semigroups -- Stability -- The Cauchy Problem -- State Linear Systems -- Input-Output Maps -- Stabilizability and Detectability -- Linear Quadratic Optimal Control -- Boundary Control Systems -- Existence and Stability for Semilinear Differential Equations -- Appendix. |
| Record Nr. | UNISA-996418189603316 |
|
Curtain Ruth
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Introduction to Infinite-Dimensional Systems Theory [[electronic resource] ] : A State-Space Approach / / by Ruth Curtain, Hans Zwart
| Introduction to Infinite-Dimensional Systems Theory [[electronic resource] ] : A State-Space Approach / / by Ruth Curtain, Hans Zwart |
| Autore | Curtain Ruth |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XII, 752 p. 37 illus.) |
| Disciplina | 003 |
| Collana | Texts in Applied Mathematics |
| Soggetto topico |
System theory
Control engineering Systems Theory, Control Control and Systems Theory |
| ISBN | 1-0716-0590-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Semigroup Theory -- Classes of Semigroups -- Stability -- The Cauchy Problem -- State Linear Systems -- Input-Output Maps -- Stabilizability and Detectability -- Linear Quadratic Optimal Control -- Boundary Control Systems -- Existence and Stability for Semilinear Differential Equations -- Appendix. |
| Record Nr. | UNINA-9910484284503321 |
|
Curtain Ruth
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator Theory, Function Spaces, and Applications : International Workshop on Operator Theory and Applications, Amsterdam, July 2014 / / edited by Tanja Eisner, Birgit Jacob, André Ran, Hans Zwart
| Operator Theory, Function Spaces, and Applications : International Workshop on Operator Theory and Applications, Amsterdam, July 2014 / / edited by Tanja Eisner, Birgit Jacob, André Ran, Hans Zwart |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 |
| Descrizione fisica | 1 online resource (VIII, 233 p. 3 illus., 1 illus. in color.) |
| Disciplina | 515.724 |
| Collana | Operator Theory: Advances and Applications |
| Soggetto topico |
Matrix theory
Algebra Operator theory System theory Linear and Multilinear Algebras, Matrix Theory Operator Theory Systems Theory, Control |
| ISBN | 3-319-31383-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- My Way in Mathematics: From Ergodic Theory Through Scattering to J-inner Matrix Functions and Passive Linear Systems Theory -- The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains -- Schatten class integral operators occurring in Markov-type inequalities -- The Spectral problem for the dispersionless Camassa-Holm equation -- Twenty years after -- Form Inequalities for Symmetric Contraction Semigroups -- Generic rank-k perturbations of structured matrices -- The isomorphism problem for complete Pick algebras: a survey -- The Stationary State/Signal Systems Story -- Matrix-valued Hermitian positivstellensatz, lurking contractions, and contractive determinantal representations of stable polynomials -- Dichotomy, spectral subspaces and unbounded projections. |
| Record Nr. | UNINA-9910254098703321 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||