Problems in geometric control theory having to do with the structure of the reachable set are notoriously challenging. While a great deal of progress has been made, and important and general theorems have been proved to answer certain questions, e.g., the Orbit Theorem, the fact remains that a comprehensive understanding of some of the most fundamental questions remains absent. In this talk we will discuss some reasons why such problems as controllability, stabilisability, and optimality remain unresolved. The emphasis is on difficulties associated with flows.

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Last Updated: Fri Mar 15 07:55:54 2024