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Control Theory from the Geometric Viewpoint

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Cover of 'Control Theory from the Geometric Viewpoint'

Table of Contents

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    Book Overview
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    Chapter 1 Vector Fields and Control Systems on Smooth Manifolds
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    Chapter 2 Elements of Chronological Calculus
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    Chapter 3 Linear Systems
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    Chapter 4 State Linearizability of Nonlinear Systems
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    Chapter 5 The Orbit Theorem and its Applications
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    Chapter 6 Rotations of the Rigid Body
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    Chapter 7 Control of Configurations
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    Chapter 8 Attainable Sets
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    Chapter 9 Feedback and State Equivalence of Control Systems
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    Chapter 10 Optimal Control Problem
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    Chapter 11 Elements of Exterior Calculus and Symplectic Geometry
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    Chapter 12 Pontryagin Maximum Principle
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    Chapter 13 Examples of Optimal Control Problems
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    Chapter 14 Hamiltonian Systems with Convex Hamiltonians
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    Chapter 15 Linear Time-Optimal Problem
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    Chapter 16 Linear-Quadratic Problem
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    Chapter 17 Sufficient Optimality Conditions, Hamilton-Jacobi Equation, and Dynamic Programming
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    Chapter 18 Hamiltonian Systems for Geometric Optimal Control Problems
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    Chapter 19 Examples of Optimal Control Problems on Compact Lie Groups
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    Chapter 20 Second Order Optimality Conditions
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    Chapter 21 Jacobi Equation
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    Chapter 22 Reduction
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    Chapter 23 Curvature
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    Chapter 24 Rolling Bodies
Overall attention for this book and its chapters
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Title
Control Theory from the Geometric Viewpoint
Published by
Springer-Verlag Berlin Heidelberg, January 2004
DOI 10.1007/978-3-662-06404-7
ISBNs
978-3-64-205907-0, 978-3-66-206404-7, 978-3-54-021019-1
Authors

Agrachev, Andrei A., Sachkov, Yuri L., Andrei A. Agrachev, Yuri Sachkov

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X Demographics

The data shown below were collected from the profile of 1 X user who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 130 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Italy 4 3%
United States 3 2%
United Kingdom 2 2%
Japan 2 2%
Pakistan 1 <1%
Australia 1 <1%
Czechia 1 <1%
France 1 <1%
Netherlands 1 <1%
Other 1 <1%
Unknown 113 87%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 34 26%
Researcher 29 22%
Student > Master 15 12%
Student > Doctoral Student 9 7%
Professor > Associate Professor 8 6%
Other 23 18%
Unknown 12 9%
Readers by discipline Count As %
Engineering 54 42%
Mathematics 32 25%
Computer Science 9 7%
Physics and Astronomy 8 6%
Neuroscience 4 3%
Other 8 6%
Unknown 15 12%