Time Optimal Control of Evolution Equations

• Main Authors: Wang, Gengsheng (Author, http://id.loc.gov/vocabulary/relators/aut), Wang, Lijuan (http://id.loc.gov/vocabulary/relators/aut), Xu, Yashan (http://id.loc.gov/vocabulary/relators/aut), Zhang, Yubiao (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: PNLDE Subseries in Control ; 92
• Subjects: System theory.; Control engineering.; Engineering mathematics.; Systems Theory, Control.; Control and Systems Theory.; Engineering Mathematics.

This monograph develops a framework for time-optimal control problems, focusing on minimal and maximal time-optimal controls for linear-controlled evolution equations. Its use in optimal control provides a welcome update to Fattorini's work on time-optimal and norm-optimal control problems. By...

Table of Contents:

• Preface
• Mathematical Preliminaries
• Time Optimal Control Problems
• Existence of Admissible Groups and Optimal Groups
• Maximum Principle of Optimal Groups
• Equivalence of Several Kinds of Optimal Controls
• Bang-Bang Properties of Optimal Groups
• References.