Lie algebras and stability of switched linear non linear systems

مقدم أطروحة جامعية

Nimaa, Kawthar Abbud

مشرف أطروحة جامعية

Fadl, Fadl S.

الجامعة

الجامعة التكنولوجية

الكلية

-

القسم الأكاديمي

قسم العلوم التطبيقية

دولة الجامعة

العراق

الدرجة العلمية

دكتوراه

تاريخ الدرجة العلمية

2009

الملخص الإنجليزي

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.

التخصصات الرئيسية

الرياضيات

الموضوعات

• التحليل الرياضي
• الجبر الخطي
• الجبر الشامل

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-305045