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Chambered Systems: A Class of Hybrid Systems with Symmetry

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Abstract:
This paper introduces the class of chambered systems, which may be viewed as hybrid discrete-time dynamic models with symmetry constraints. This model class is based on the idea of cell decompositions that arises in the mathematical theory of buildings. These sytems generalize both the class of positive linear systems that arise when state variables are constrained to be non-negative and the class of nonlinear TARMAX models, for which simple necessary or sufficient conditions may be given for a variety of interesting forms of nonlinear behavior. Motivation for defining this system class is analogous to the motivation for considering positive linear systems: the defining restrictions have practical implications (e.g., positivity, monotonicity, etc.) and provide a basis for developing specialized analysis tools for the system class that overcome the fundamental complexity associated with larger classes of hybrid systems.

Type of Seminar:
Public Seminar
Speaker:
Dr. Ronald K. Pearson
TICSP, Tampere University of Technology Tampere, Finland
Date/Time:
May 29, 2002   17:15
Location:

ETH Zentrum, Gloriastrasse 35, Building ETZ Room E6
Contact Person:

Prof. M. Morari
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Biographical Sketch:
Ronald K. Pearson received the B.S. in physics from the University of Arkansas at Monticello in 1973, the M.S.E.E. in solid state materials and devices from M.I.T. in 1975, and the PhD in control theory from M.I.T. in 1982. Dr. Pearson then joined the DuPont Company, where he remained until 1997, working in the areas of nonlinear system identification, exploratory data analysis, electronic instrumentation, and nonlinear filtering. From 1997 to 2001, Dr. Pearson was with the Institut fuer Automatik at ETH in Zuerich, and he is currently a visiting professor with the Tampere International Center for Signal Processing at the Tampere University of Technology, in Tampere, Finland.