Optimal control problems, curves of pursuit

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.

Name thesis:degree_name

Mathematics

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Mathematics & Statistics

Year

2011

Author dc:creator

• Moiseeva, Svetlana

Contributors dc:contributor

• Embid, Pedro
• Pedro Embid
• Michael Nakamaye
• Stephen Lau

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

Language dc:language

English

Identifier

https://digitalrepository.unm.edu/math_etds/31

OAI identifier oai:identifier

oai:digitalrepository.unm.edu:math_etds-1030