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Zero Dynamics and Time-Delay Systems - A Numerical Semialgebraic Perspective

The goal of the talk is to show that the integration of techniques from numerical semialgebraic geometry into systems and control theory allows to obtain new numerical and theoretical results. This is discussed by considering two classical problems in control. The first problem deals with the notion of the minimum phase property, which plays an important role in systems and control theory. In particular, a characterization of the minimum phase property in terms of a new dissipation inequality is derived, motivated by the wish to perform a tractable computer-aided analysis using semidefinite programming and sum of squares techniques. The second problem deals with a delay-dependent stability analysis of linea time-invariant time-delay systems. Motivated by the wish to perform a tractable computer-aided stability analysis, a new computationally tractable bound for the maximal tolerated delay is derived.
Type of Seminar:
Public Seminar
Christian Ebenbauer, Research Assistant
University of Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart, Germany
May 02, 2006   16:15

ETH Zentrum, Gloriastrasse 35, Building ETZ, Room E7
Contact Person:

Dr. Johan Löfberg
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