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Series Editors' Foreword; Preface; Intended Readership; What are the Contributions of This Book; What is Not Covered in This Book; Structure of the Book; Acknowledgements; Contents; Abbreviations and Symbols; 1 Introduction; 1.1 Motivation, Challenges, and Objectives; 1.2 Vehicle Design Aspects; 1.2.1 Stages of Energy Conversion; 1.2.2 Real-World Driving Profile, Consumption, and Emissions; 1.3 Process Model, Control Strategy, and Optimization; 1.3.1 General Problem Statement; 1.3.2 Energy Management; 1.3.3 Numerical Solutions; 1.4 Bibliographical Notes; References.

Part I Theory and Formulations2 Introduction to Nonlinear Programming; 2.1 Introduction; 2.2 Unconstrained Nonlinear Optimization; 2.2.1 Necessary and Sufficient Conditions for Optimality; 2.2.2 Newton
Raphson Method; 2.2.3 Globalization of the Newton
Raphson Method; 2.2.4 Quasi-Newton Method; 2.3 Constrained Nonlinear Optimization; 2.3.1 Necessary and Sufficient Conditions for Optimality; 2.3.2 Projected Hessian; 2.3.3 Sequential Quadratic Programming; 2.4 Sensitivity Analysis; 2.4.1 Sensitivity Analysis of the Objective Function and Constraints; 2.4.2 Linear Perturbations.

2.4.3 Approximation of the Perturbed Solution2.4.4 Approximation of the Confidence Region; 2.5 Multi-Objective Optimization; 2.5.1 Elitist Multi-Objective Evolutionary Algorithm; 2.5.2 Remarks for MOGAs; 2.6 Bibliographical Notes; References; 3 Hybrid Systems and Hybrid Optimal Control; 3.1 Introduction; 3.2 System Definition; 3.2.1 Continuous Systems; 3.2.2 Hybrid Systems; 3.2.3 Controlled Hybrid Systems and Switched Systems; 3.2.4 Existence and Uniqueness of Admissible States and Controls; 3.2.5 Control and State Constraints, Admissible Sets, and Admissible Function Spaces.

3.2.6 Reformulation of Switched Systems3.3 Optimal Control Problem Formulations; 3.3.1 Functionals; 3.3.2 Boundary Conditions; 3.3.3 Continuous Optimal Control Problem; 3.3.4 Hybrid Optimal Control Problem; 3.3.5 Switched Optimal Control Problem; 3.3.6 Binary Switched Optimal Control Problem; 3.3.7 Transformations of Optimal Control Problems; 3.4 Bibliographical Notes; References; 4 The Minimum Principle and Hamilton
Jacobi
Bellman Equation; 4.1 Introduction; 4.1.1 The Calculus of Variations; 4.1.2 Deriving First-Order Necessary Conditions for an Extremum of an Optimal Control Problem.

4.2 Minimum Principle4.2.1 Necessary Conditions for Optimal Control Problems with Control Restraints; 4.2.2 Necessary Conditions for Optimal Control Problems with State Constraints; 4.2.3 Necessary Conditions for Optimal Control Problems with Affine Controls; 4.3 Hamilton
Jacobi
Bellman Equation; 4.4 Hybrid Minimum Principle; 4.4.1 Necessary Conditions for Switched Optimal Control Problems Without State Jumps; 4.4.2 Necessary Conditions for Switched Optimal Control Problems with State Jumps; 4.4.3 Revisited: Necessary Conditions for a State Constrained Optimal Control Problem; 4.5 Existence.

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