Methods of Algebraic Geometry in Control Theory: Part II Multivariable Linear Systems and Projective Algebraic Geometry /

• Κύριος συγγραφέας: Falb, Peter (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Modern Birkhäuser Classics,
• Θέματα: System theory.; Algebraic geometry.; Control engineering.; Systems Theory, Control.; Algebraic Geometry.; Control and Systems Theory.

"An introduction to the ideas of algebraic geometry in the motivated context of system theory." This describes this two volume work which has been specifically written to serve the needs of researchers and students of systems, control, and applied mathematics. Without sacrificing mathemati...

Πίνακας περιεχομένων:

• 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.