A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems proposes a unified approach to effective and numerically tractable relaxation schemes for optimal control problems of hybrid and switched systems. The book gives an overview of the existing (conventional and newly developed) relaxation techniques associated with the conventional systems described by ordinary differential equations. Next, it constructs a self-contained relaxation theory for optimal control processes governed by various types (sub-classes) of general hybrid and switched systems. It contains all mathematical tools necessary for an adequate understanding and using of the sophisticated relaxation techniques.
In addition, readers will find many practically oriented optimal control problems related to the new class of dynamic systems. All in all, the book follows engineering and numerical concepts. However, it can also be considered as a mathematical compendium that contains the necessary formal results and important algorithms related to the modern relaxation theory.
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Table of Contents
1. Introduction2. Mathematical Background
3. Convex Programming
4. Short Course in Continuous Time Dynamic Systems and Control
5. Relaxation Schemes in Conventional Optimal Control and Optimization Theory
6. Optimal Control of Hybrid and Switched Systems
7. Numerically Tractable Relaxation Schemes for Optimal Control of Hybrid and Switched Systems
8. Applications of the Relaxation Based Approach
