The Resource Infinite Dimensional Optimization and Control Theory, (electronic resource)

Infinite Dimensional Optimization and Control Theory, (electronic resource)

Label
Infinite Dimensional Optimization and Control Theory
Title
Infinite Dimensional Optimization and Control Theory
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming
Member of
Cataloging source
AU-PeEL
http://library.link/vocab/creatorDate
1938-
http://library.link/vocab/creatorName
Fattorini, H. O.
Dewey number
  • 003.5
  • 003/.5
Language note
English
LC call number
QA402.5 .F365 1999
Nature of contents
dictionaries
Series statement
Encyclopedia of Mathematics and its Applications
Series volume
v.62
http://library.link/vocab/subjectName
  • Calculus of variations
  • Control theory
  • Mathematical optimization
Label
Infinite Dimensional Optimization and Control Theory, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Series Page; Title; Copyright; Dedication; FOREWORD; Acknowledgments; Part I Finite Dimensional Control Problems; 1 Calculus of Variations and Control Theory; 1.1. Calculus of Variations: Surface of Revolution of Minimum Area; 1.2. Interpretation of the Results; 1.3. Mechanics and Calculus of Variations; 1.4. Optimal Control: Fuel Optimal Landing of a Space Vehicle; 1.5. Optimal Control Problems Described by Ordinary Differential Equations; 1.6. Calculus of Variations and Optimal Control. Spike Perturbations; 1.7. Optimal Control: Minimum Drag Nose Shape in Hypersonic Flow
  • 1.8. Control of Functional Differential Equations: Optimal Forest Growth1.9. Control of Partial Differential Equations: Optimal Cooling of a Plate and Optimal Stabilization of a Vibrating Membrane; 1.10. Finite Dimensional and Infinite Dimensional Control Problems; 2 Optimal Control Problems Without Target Conditions; 2.0. Elements of Measure and Integration Theory. The Lebesgue Integral. Metric, Banach, and Hilbert Spaces; 2.1. Control Systems Described by Ordinary Differential Equations; 2.2. Existence Theory for Optimal Control Problems; 2.3. Trajectories and Spike Perturbations
  • 2.4. Cost Functionals and Spike Perturbations2.5. Optimal Control Problems without Target Condition: The Hamiltonian Formalism; 2.6. Invariance of the Hamiltonian; 2.7. The Linear-Quadratic Problem: Existence and Uniqueness of Optimal Controls; 2.8. The Unconstrained Linear-Quadratic Problem: Feedback, the Riccati Equation; 2.9. The Constrained Linear-Quadratic Problem; 3 Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem; 3.1. Abstract Minimization Problems; 3.2. Ekeland's Variational Principle; 3.3. The Abstract Time Optimal Problem; 3.4. The Control Spaces
  • 3.5. Continuity of the Solution Map3.6. Continuity of the Solution Operator of the Variational Equation; 3.7. The Minimum Principle for the Time Optimal Problem; 3.8. Time Optimal Capture of a Wandering Particle; 3.9. Time Optimal Stopping of an Oscillator; 3.10. Higher Dimensional Problems; 4 Abstract Minimization Problems: The Minimum Principle for General Optimal Control Problems; 4.1. The Abstract Minimization Problem; 4.2. The Minimum Principle for Problems with Fixed Terminal Time; 4.3. Optimal Capture of a Wandering Particle in Fixed Time, I; 4.4. Singular Intervals and Singular Arcs
  • 4.5. Optimal Capture of a Wandering Particle in Fixed Time, II4.6. The Minimum Principle for Problems with Variable Terminal Time; 4.7. Fuel Optimal Soft Landing of a Space Vehicle: Existence and Identification of the Optimal Control; 4.8. Fuel Optimal Soft Landing of a Space Vehicle: Identification of the Optimal Trajectory; 4.9. Unbounded Control Sets: The Linear-Quadratic Problem and the Minimum Drag Nose Shape Problem; 4.10. Nonlinear Programming Problems: The Kuhn-Thcker Theorem; Miscellaneous Comments for Part I; Part II Infinite Dimensional Control Problems
  • 5 Differential Equations in Banach Spaces and Semigroup Theory
Dimensions
unknown
Extent
1 online resource (818 p.)
Form of item
electronic
Isbn
9780511574795
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2670000000343933
  • (EBL)1179033
  • (SSID)ssj0000893991
  • (PQKBManifestationID)11466556
  • (PQKBTitleCode)TC0000893991
  • (PQKBWorkID)10828838
  • (PQKB)10900895
  • (UkCbUP)CR9780511574795
  • (EXLCZ)992670000000343933
Label
Infinite Dimensional Optimization and Control Theory, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Series Page; Title; Copyright; Dedication; FOREWORD; Acknowledgments; Part I Finite Dimensional Control Problems; 1 Calculus of Variations and Control Theory; 1.1. Calculus of Variations: Surface of Revolution of Minimum Area; 1.2. Interpretation of the Results; 1.3. Mechanics and Calculus of Variations; 1.4. Optimal Control: Fuel Optimal Landing of a Space Vehicle; 1.5. Optimal Control Problems Described by Ordinary Differential Equations; 1.6. Calculus of Variations and Optimal Control. Spike Perturbations; 1.7. Optimal Control: Minimum Drag Nose Shape in Hypersonic Flow
  • 1.8. Control of Functional Differential Equations: Optimal Forest Growth1.9. Control of Partial Differential Equations: Optimal Cooling of a Plate and Optimal Stabilization of a Vibrating Membrane; 1.10. Finite Dimensional and Infinite Dimensional Control Problems; 2 Optimal Control Problems Without Target Conditions; 2.0. Elements of Measure and Integration Theory. The Lebesgue Integral. Metric, Banach, and Hilbert Spaces; 2.1. Control Systems Described by Ordinary Differential Equations; 2.2. Existence Theory for Optimal Control Problems; 2.3. Trajectories and Spike Perturbations
  • 2.4. Cost Functionals and Spike Perturbations2.5. Optimal Control Problems without Target Condition: The Hamiltonian Formalism; 2.6. Invariance of the Hamiltonian; 2.7. The Linear-Quadratic Problem: Existence and Uniqueness of Optimal Controls; 2.8. The Unconstrained Linear-Quadratic Problem: Feedback, the Riccati Equation; 2.9. The Constrained Linear-Quadratic Problem; 3 Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem; 3.1. Abstract Minimization Problems; 3.2. Ekeland's Variational Principle; 3.3. The Abstract Time Optimal Problem; 3.4. The Control Spaces
  • 3.5. Continuity of the Solution Map3.6. Continuity of the Solution Operator of the Variational Equation; 3.7. The Minimum Principle for the Time Optimal Problem; 3.8. Time Optimal Capture of a Wandering Particle; 3.9. Time Optimal Stopping of an Oscillator; 3.10. Higher Dimensional Problems; 4 Abstract Minimization Problems: The Minimum Principle for General Optimal Control Problems; 4.1. The Abstract Minimization Problem; 4.2. The Minimum Principle for Problems with Fixed Terminal Time; 4.3. Optimal Capture of a Wandering Particle in Fixed Time, I; 4.4. Singular Intervals and Singular Arcs
  • 4.5. Optimal Capture of a Wandering Particle in Fixed Time, II4.6. The Minimum Principle for Problems with Variable Terminal Time; 4.7. Fuel Optimal Soft Landing of a Space Vehicle: Existence and Identification of the Optimal Control; 4.8. Fuel Optimal Soft Landing of a Space Vehicle: Identification of the Optimal Trajectory; 4.9. Unbounded Control Sets: The Linear-Quadratic Problem and the Minimum Drag Nose Shape Problem; 4.10. Nonlinear Programming Problems: The Kuhn-Thcker Theorem; Miscellaneous Comments for Part I; Part II Infinite Dimensional Control Problems
  • 5 Differential Equations in Banach Spaces and Semigroup Theory
Dimensions
unknown
Extent
1 online resource (818 p.)
Form of item
electronic
Isbn
9780511574795
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2670000000343933
  • (EBL)1179033
  • (SSID)ssj0000893991
  • (PQKBManifestationID)11466556
  • (PQKBTitleCode)TC0000893991
  • (PQKBWorkID)10828838
  • (PQKB)10900895
  • (UkCbUP)CR9780511574795
  • (EXLCZ)992670000000343933

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