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