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Stability Analysis of Nonlinear Systems via Piecewise Linear Lyapunov Functions

In this talk, it is addressed the issue of constructing piecewise linear Lyapunov functions (PWLLF) for nonlinear systems satisfying the generalized sector condition. PWLLF is a generalization of Polytope Lyapunov Function and the generalized sector condition is a generalization of the polytopic uncertainty. The main result of this paper is to propose a fast method to solving linear programming problems (LP's) which appear repeatedly in constructing PWLLF. The method uses a special structure of LP's which appear in constructing PWLLF.

Type of Seminar:
Public Seminar
Prof. Yuzo Ohta
Department of Computer and Systems Engineering, Faculty of Engineering, Kobe University Rokkodai, Nada, Kobe 657-8501, Japan
May 31, 2000   17:15

ETH Zentrum, ETZ E6, Gloriastrasse 35, 8006 Zurich
Contact Person:

Prof. M. Morari
No downloadable files available.
Biographical Sketch:
Yuzo Ohta was born in Hyogo, Japan on November 10, 1949. He received his B. Eng. and M. Eng. degrees in Electrical Engineering from Kobe University, Japan in 1972 and 1974 respectively, and the Doctor's degree in Electronic Engineering from Osaka University, Japan in 1977. From 1977 to 1987, he was at Fukui University, Fukui, Japan. In 1987 he joined Kobe University as Associate Professor of the Department of Electronics Engineering, and presently he is a Professor in the Department of Computer and Systems Engineering. From 1981 to 1982, he was a Visiting Research Associate at the Department of Electrical Engineering and Computer Science, University of Santa Clara, Santa Clara, CA, USA. His research interest includes stability theory, robust control, nonlinear control, and computer aided analysis/design of control systems.