Optimal Control of Dynamic Systems Driven by Vector Measures - Info and Reading Options

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Intro -- Preface -- Contents -- 1 Mathematical Preliminaries -- 1.1 Introduction -- 1.2 Vector Space -- 1.3 Normed Space -- 1.4 Banach Space -- 1.5 Measures and Measurable Functions -- 1.6 Modes of Convergence and Lebesgue Integral -- 1.6.1 Modes of Convergence -- 1.6.2 Lebesgue Integral -- 1.7 Selected Results From Measure Theory -- 1.8 Special Hilbert and Banach Spaces -- 1.8.1 Hilbert Spaces -- 1.8.2 Special Banach Spaces -- 1.9 Metric Space -- 1.10 Banach Fixed Point Theorems -- 1.11 Frequently Used Results From Analysis -- 1.12 Bibliographical Notes -- 2 Linear Systems -- 2.1 Introduction -- 2.2 Representation of Solutions for TIS -- 2.2.1 Classical System Models -- 2.2.2 Impulsive System Models -- 2.3 Representation of Solutions for TVS -- 2.3.1 Classical System Models -- 2.3.2 Measure Driven System Models -- 2.3.3 Measure Induced Structural Perturbation -- 2.3.4 Measure Driven Control Systems -- 2.4 Bibliographical Notes -- 3 Nonlinear Systems -- 3.1 Introduction -- 3.2 Fixed Point Theorems for Multi-Valued Maps -- 3.3 Regular Systems (Existence of Solutions) -- 3.4 Impulsive Systems (Existence of Solutions) -- 3.4.1 Classical Impulsive Models -- 3.4.2 Systems Driven by Vector Measures -- 3.4.3 Systems Driven by Finitely Additive Measures -- 3.5 Differential Inclusions -- 3.6 Bibliographical Notes -- 4 Optimal Control: Existence Theory -- 4.1 Introduction -- 4.2 Regular Controls -- 4.3 Relaxed Controls -- 4.4 Impulsive Controls I -- 4.5 Impulsive Controls II -- 4.6 Structural Control -- 4.7 Differential Inclusions (Regular Controls) -- 4.8 Differential Inclusions (Measure-Valued Controls) -- 4.9 Systems Controlled by Discrete Measures -- 4.10 Existence of Optimal Controls -- 4.11 Bibliographical Notes -- 5 Optimal Control: Necessary Conditions of Optimality -- 5.1 Introduction -- 5.2 Relaxed Controls -- 5.2.1 Discrete Control Domain

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