Seminars/Colloquia/Invited Talks

Seminars

Mihaly Petreczky

Identification and Realization Theory of Hybrid Dynamical Systems

PLACE:	Clark 314
EVENT:	CIS Seminar Series
DATE:	November 7, 2006
TIME:	1:00 - 2:00 PM

Abstract

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 biotechnology.
Our goal is to infer a hybrid dynamical system model based on the observed external behavior. The observed behavior can be a stochastic process, a time series or an input-output map. We will seek answers to 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 systems.

Brief biography

Mihaly Petreczky was born in 1980 in Uzsgorod, USSR. He studied computer science at the Eotvos Lorand Science University in Budapest, Hungary and at the Vrije Universiteit in Amsterdam, The Netherlands. He received his masters degree in computer science from Vrije Universiteit, Amsterdam in 2002. He received his PhD degree in mathematics from Vrije Universiteit, Amsterdam in 2006, for the thesis "Realization Theory of Hybrid Systems". Currently he is a postdoc at Center for Imaging Science, Depratment of Biomedical Engineering, Johns Hopkins University.