Lie algebras and stability of switched linear non linear systems

Dissertant

Nimaa, Kawthar Abbud

Thesis advisor

Fadl, Fadl S.

University

University of Technology

Faculty

-

Department

Applied Sciences Department

University Country

Iraq

Degree

Ph.D.

Degree Date

2009

English Abstract

The main objective of this thesis is to study the stability of switched nan-Linear systems and to find the conditions for liability under arbitrary switching.

Also, this work consist of analyzing stability for switched systems which are composed of both continuous and discrete time subsystems by considering a Lie algebra generated by all subsystems of matrices, we showed that if all subsystems are Ilurwitz-Schnre stable and this Lie algebra is solvable, then there is a common quadratic Lyapuncv function for all subsystems and thus the switched system is exponentially stable under arbitrary switching.

If some subsystems are unstable while the same Lie algebra is solvable, then we had proven that there is a common quadratic Lyapimov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme.

Main Subjects

Mathematics

Topics

• Mathematical analysis
• Linear algebra
• Universal algebra

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-305045