Invariance pressure for control systems

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• Prof Fritz Colonius, University of Augsburg
• Tuesday 14 January 2020, 13:00-14:00
• HXLY 342 (Math Department).

If you have a question about this talk, please contact Giordano Scarciotti.

Abstract: The use of digital channels for control systems has led, among others, to the problem to determine minimal data rates needed for performing control tasks like stabilization or invariance. This poses new mathematical challenges. The notion of invariance pressure generalizes invariance entropy by adding a potential on the control range and gives further insight into the problem to make a subset of the state space invariant. This talk is based on joint work with Joao Cossich and Alexandre Santana.

Biography: After early work on functional differential equations, optimal periodic control and parameter identification problems, Fritz Colonius has mainly worked on various aspects of nonlinear systems theory and its relations to deterministic and random dynamical systems. The monograph “The Dynamics of Control”, Birkhauser (2000), co-authored with Wolfgang Kliemann, was an acme of this research lying the foundations for much further work. His recent interests include control under information constraints, aspects of piecewise deterministic Markov processes and quasi-stationary measures.

This talk is part of the Control and Power Seminars series.

This talk is included in these lists:

• Andrea Picciau's list
• Control and Power Seminars
• HXLY 342 (Math Department)

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