F. Silva Leite
Universidade de Coimbra, Portugal
LIE THEORETICAL METHODS FOR CONTROL SYSTEMS AND
APPLICATIONS
This course will focus on the rich interplay between analysis,algebra,
and geometry for which Lie groups are especially suited. This interplay
is also the essence of geometric control theory, where a control system
is seen as a family of vector fields and even the most basic
theoretical tool of the geometric view point is the Lie bracket. Basics
of Lie theory with appear in parallel with notions in control systems.
Emphasis will be put on semi-simple Lie algebras and classical Lie
groups, due to their role in physics and engineering applications.
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