Geometric Methods in System Theory

Table of Contents

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   Book Overview
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   Chapter 1 Dynamical Polysystems and Control Theory
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   Chapter 2 Lie Algebras and Lie Groups in Control Theory
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   Chapter 3 Realization Theory of Bilinear Systems
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   Chapter 4 An Introduction to Stochastic Differential Equations on Manifolds
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   Chapter 5 General Theory of Global Differential Dynamics
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   Chapter 6 Two Proofs of Chow’s Theorem
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   Chapter 7 On Necessary and Sufficient Conditions for Local Controllability Along a Reference Trajectory
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   Chapter 8 The High Order Maximal Principle
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    Chapter 9 Optimal Control on Manifolds
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    Chapter 10 Problems in Geodesic Control
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    Chapter 11 Controllability in Nonlinear Systems
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    Chapter 12 Control Theory in Transformation Semigroups
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    Chapter 13 The Imbedding Problem for Finite Markov Chains
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    Chapter 14 Some remarks on the geometry of systems
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    Chapter 15 Minimal Realizations of Nonlinear Systems
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    Chapter 16 Causal Dynamical Systems: Irreducible Realizations
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    Chapter 17 On the Internal Structure of Bilinear Input-Output Maps
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    Chapter 18 Optimal Control of Discrete Bilinear Systems
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    Chapter 19 Diffusions on Manifolds Arising from Controllable Systems
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    Chapter 20 Signal Detection on Lie Groups
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    Chapter 21 Some Estimation Problems on Lie Groups