Exponential stability of nonlinear systems using Dahlquist constant
Other Title(s)
الاستقرار الأسي لنظام المعادلات التفاضلية غير الخطي باستخدام ثابت داليكويست
Dissertant
Thesis advisor
Comitee Members
al-Utaywi, Ali Mahmud
al-Banawi, Kamal Ata Allah Salih
Jaradat, Umar Khalid
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2014
English Abstract
-In this thesis, we discuss the exponential stability of nonlinear system generated by ordinary differential equation via the concepts of: Dahlquist constant, generalized Dahlquist constant and the point-wise generalized Dahlquist constant.
Sufficient conditions for this stability are derived in Chapter 3.
We also give characterization of the exponential stability using these concepts for nonlinear systems generated by delay differential equations.
Also, sufficient conditions for this stability are obtained in Chapter 4.
Main Subjects
No. of Pages
43
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Stability and basic definitions.
Chapter Three : Exponential stability of nonlinear systems.
Chapter Four : Stability of nonlinear systems with time-varying delays.
References.
American Psychological Association (APA)
Abu Tuqayqah, Fatin Muhammad. (2014). Exponential stability of nonlinear systems using Dahlquist constant. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-556657
Modern Language Association (MLA)
Abu Tuqayqah, Fatin Muhammad. Exponential stability of nonlinear systems using Dahlquist constant. (Master's theses Theses and Dissertations Master). Mutah University. (2014).
https://search.emarefa.net/detail/BIM-556657
American Medical Association (AMA)
Abu Tuqayqah, Fatin Muhammad. (2014). Exponential stability of nonlinear systems using Dahlquist constant. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-556657
Language
English
Data Type
Arab Theses
Record ID
BIM-556657
