Publication Date

7-1-2011

Abstract

We study a class of problems known as pursuit-evasion problems (PE). These problems can be understood as special cases of optimal control problems. After describing the two main principles to study optimal control problems, namely Pontryagin's maximum principle and Bellman's method of dynamic programming, this thesis focuses on specific examples of PE problems within the classes of pursuit problems, evasion problems, and pursuit-evasion problems.

Degree Name

Mathematics

Level of Degree

Masters

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Pedro Embid

Second Committee Member

Michael Nakamaye

Third Committee Member

Stephen Lau

Language

English

Keywords

Trajectory optimization, Control theory, Differential games, Pontrjagin duality, Dynamic programming.

Document Type

Thesis

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