Mathem. Inst. Chair of Appl. Math. Teaching WS 2006/07	Lectures
	Seminars	Oberseminar

	Chair of Applied Mathematics
	(MATHE V)
	Oberseminar in WS 2006/07

Vortragsankündigungen für das Oberseminar

Herr stud. rer. nat. Peter Kohl-Landgraf

Universität Bayreuth

"Eine PDE zur Bewertung von Zinsderivaten".

Herr Dipl.-Math. Alexander Thekale (Doktorand im IDK)

Lehrstuhl für Angewandte Mathematik, Universität Erlangen-Nürnberg,

"Optimierung bei teuren Funktionsauswertungen".

Herr Dipl.-Math. Armin Rund

Universität Bayreuth

"Modellreduktion und Optimale Steuerung mit Proper Orthogonal Decomposition".

Herr stud. rer. nat. Ekue-sse Situ Tomety

Universität Bayreuth

"Konjugierte Gradientenverfahren zur Lösung von Optimalsteuerungsproblemen mit semi-linearen elliptischen Differentialgleichungen".

Herr Dr. Hiroshi Ito

Departments of Systems Innovation and Informatics, Kyushu Institute of Technology (KIT), Fukuoka, Japan

"The state-dependent scaling approach to stability of nonlinear interconnected dissipative systems".

With the increase of interdisciplinary problems arising in recent development and interest in science and technology, there has been an increasing demand for the progress of control systems theory in order to be capable of dealing with a large variety of nonlinearities and complexities. Some of such examples include the areas of communication networks, cooperative autonomous systems and biological systems and so on. In this talk, we will address the issue of developing new control-theoretic tools to effectively establish global stability properties of nonlinear interconnected system, and discuss our new approach to this subject. The idea of state-dependent scaling problems is introduced as a unified mathematical formulation whose solutions explicitly provide Lyapunov functions proving dissipative properties of feedback and cascade nonlinear systems. This talk discusses not only formal applicability to general systems, but also demonstrates substantial effectiveness in establishing stability involving nonlinearities stronger than ones covered by previously existing stability theorems. Solutions to the state-dependent scaling problems for input-to-state and integral input-to-state stabilities are offered. Popular classical stability criteria and the ISS small-gain theorem are explained as special cases in a unified language.

Einladende:

© Klothilde Dulleck (),
    WWW-Administrator vom Lehrstuhl Mathematik V ()

Last modified: $Date: 2007/01/23 10:45:02 $