Seminar Details
2015-04-21 (14.00) : On set theory methods for dynamical systems: stability analysis, controller synthesis and construction of invariant sets
At Euler building (A002)
Organized by Mathematical Engineering
Speaker :
Nikolaos Athanasopoulos (UCL)
Abstract :
Tools from set theory involving reachability mappings and different variants of invariant sets in the state space, are systematically being used for
stability analysis and controller synthesis, especially for systems under input/state constraints and complex specifications. In this talk, two contributions
among these lines will be discussed, concerning a) the stability analysis and control synthesis problem for discrete time homogeneous inclusions and
b) the construction of new property preserving monotonic sequences of invariant sets for constrained systems. The theoretical results will be illustrated
to relevant classes of systems in control, such as linear discrete and continuous-time systems, cone-wise linear systems, switched systems under constrained
switching and time-delay systems.