CDS Invited Lecture: Mihaly Petreczky, "Identification and Realization Theory for Hybrid Systems"
Wednesday, January 31, 2007
2168 A.V. Williams Building
301 405 6576
Control and Dynamical Systems Invited Lecture Series
Identification and Realization Theory for Hybrid Systems
Wednesday, January 31, 2007, 3:00 p.m.
2168 AV Williams Building
Center for Imaging Science
Department of Biomedical Engineering
The Johns Hopkins University
Hybrid systems are dynamical systems which exhibit both continuous and discrete behavior. Such systems arise naturally in a number of fields, including control theory, signal processing, computer vision, communication networks and even systems biology.
Our goal is to infer a hybrid dynamical system model based on the observed external behavior. The observed behavior can be a stochastic process or an input-output map. We will address the following questions:
1. Under which conditions can the observed behavior be represented by a hybrid dynamical system?
2. When is a hybrid dynamical system a minimal representation of the observed behavior? Does such a minimal hybrid representation exist? Is it unique?
3. How to compute/construct a (preferably minimal) hybrid dynamical system from the observed behavior?
We will also indicate the relationship between the solution of the above problems for hybrid systems and the solution for other classes of dynamical input-output systems.
Mihaly Petreczky received his M.Sc. degree in computer science from Free University in Amsterdam, The Netherlands in 2002. He received his Ph.D. degree in mathematics from Free University in Amsterdam, The Netherlands in 2006, for the thesis "Realization Theory of Hybrid Systems." Currently he is a post-doc at Center for Imaging Science, Department of Biomedical Engineering, Johns Hopkins University. His main research interests are control and systems theory and theoretical computer science.
Steve Marcus and P.S. Krishnaprasad