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Direct Methods in Control Problems [[electronic resource] /] / by Peter Falb
| Direct Methods in Control Problems [[electronic resource] /] / by Peter Falb |
| Autore | Falb Peter |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2019 |
| Descrizione fisica | 1 online resource (XIII, 311 p. 14 illus.) |
| Disciplina | 515.642 |
| Soggetto topico |
System theory
Control engineering Robotics Mechatronics Calculus of variations Approximation theory Probabilities Computer mathematics Systems Theory, Control Control, Robotics, Mechatronics Calculus of Variations and Optimal Control; Optimization Approximations and Expansions Probability Theory and Stochastic Processes Computational Mathematics and Numerical Analysis |
| ISBN | 0-8176-4723-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Introduction -- Introductory Remarks -- Historical Perspective -- Outline of Contents -- Part II. Problem Statement -- Deterministic Systems -- Stochastic Systems -- General Problem -- Part III. The Direct Method Approach: Generalities -- General Approach -- Gradient and Integration Methods -- Representation Methods -- Part IV. Gradient and Integration Methods in Control Problems -- Computation of Gradients for ODE Problems -- Computation of Gradients for PDE Problems -- Integration Methods -- Part V. Representation Methods -- Ritz–Galerkin Expansion -- Karhunen–Loeve Expansion -- Lévy Processes -- Bibliography -- Index . |
| Record Nr. | UNINA-9910370252903321 |
Falb Peter
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| New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Methods of Algebraic Geometry in Control Theory: Part I : Scalar Linear Systems and Affine Algebraic Geometry / / by Peter Falb
| Methods of Algebraic Geometry in Control Theory: Part I : Scalar Linear Systems and Affine Algebraic Geometry / / by Peter Falb |
| Autore | Falb Peter |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (IX, 202 p. 3 illus.) |
| Disciplina | 362.1 |
| Collana | Modern Birkhäuser Classics |
| Soggetto topico |
Algebraic geometry
System theory Control engineering Algebraic Geometry Systems Theory, Control Control and Systems Theory |
| ISBN | 3-319-98026-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 0. Introduction -- 1. Scalar Linear Systems over the Complex Numbers -- 2. Scalar Linear Systems over a Field k -- 3. Factoring Polynomials -- 4. Affine Algebraic Geometry: Algebraic Sets -- 5. Affine Algebraic Geometry: The Hilbert Theorems -- 6. Affine Algebraic Geometry: Irreducibility -- 7. Affine Algebraic Geometry: Regular Functions and Morphisms I -- 8. The Laurent Isomorphism Theorem -- 9. Affine Algebraic Geometry: Regular Functions and Morphisms II -- 10. The State Space: Realizations -- 11. The State Space: Controllability, Observability, Equivalence -- 12. Affine Algebraic Geometry: Products, Graphs and Projections -- 13. Group Actions, Equivalence and Invariants -- 14. The Geometric Quotient Theorem: Introduction -- 15. The Geometric Quotient Theorem: Closed Orbits -- 16. Affine Algebraic Geometry: Dimension -- 17. The Geometric Quotient Theorem: Open on Invariant Sets -- 18. Affine Algebraic Geometry: Fibers of Morphisms -- 19. The Geometric Quotient Theorem: The Ring of Invariants -- 20. Affine Algebraic Geometry: Simple Points -- 21. Feedback and the Pole Placement Theorem -- 22. Affine Algebraic Geometry: Varieties -- 23. Interlude -- Appendix A: Tensor Products -- Appendix B: Actions of Reductive Groups -- Appendix C: Symmetric Functions and Symmetric Group Actions -- Appendix D: Derivations and Separability -- Problems -- References. |
| Record Nr. | UNINA-9910300137903321 |
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Falb Peter
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Methods of Algebraic Geometry in Control Theory: Part II : Multivariable Linear Systems and Projective Algebraic Geometry / / by Peter Falb
| Methods of Algebraic Geometry in Control Theory: Part II : Multivariable Linear Systems and Projective Algebraic Geometry / / by Peter Falb |
| Autore | Falb Peter |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (X, 390 p. 3 illus.) |
| Disciplina | 629.8312 |
| Collana | Modern Birkhäuser Classics |
| Soggetto topico |
System theory
Algebraic geometry Control engineering Systems Theory, Control Algebraic Geometry Control and Systems Theory |
| ISBN | 3-319-96574-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Scalar Input or Scalar Output Systems -- 2 Two or Three Input, Two Output Systems: Some Examples -- 3 The Transfer and Hankel Matrices -- 4 Polynomial Matrices -- 5 Projective Space -- 6 Projective Algebraic Geometry I: Basic Concepts -- 7 Projective Algebraic Geometry II: Regular Functions, Local Rings, Morphisms -- 8 Exterior Algebra and Grassmannians -- 9 The Laurent Isomorphism Theorem: I -- 10 Projective Algebraic Geometry III: Products, Graphs, Projections -- 11 The Laurent Isomorphism Theorem: II -- 12 Projective Algebraic Geometry IV: Families, Projections, Degree -- 13 The State Space: Realizations, Controllability, Observability, Equivalence -- 14 Projective Algebraic Geometry V: Fibers of Morphisms -- 15 Projective Algebraic Geometry VI: Tangents, Differentials, Simple Subvarieties -- 16 The Geometric Quotient Theorem -- 17 Projective Algebraic Geometry VII: Divisors -- 18 Projective Algebraic Geometry VIII: Intersections -- 19 State Feedback -- 20 Output Feedback -- Appendices -- A Formal Power Series, Completions, Regular Local Rings, and Hubert Polynomials -- B Specialization, Generic Points and Spectra -- C Differentials -- D The Space -- E Review of Affine Algebraic Geometry -- References -- Glossary of Notations. |
| Record Nr. | UNINA-9910300139203321 |
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Falb Peter
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||