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Some types of stability for nonlinear systems using generalized lyapunov-like function
Other Title(s)
بعض أنواع الاستقرارية للأنظمة اللاخطية باستخدام (The generalized lyapunov-like function)
Author
Source
Issue
Vol. 5, Issue 0 (30 Jun. 2010), pp.1-9, 9 p.
Publisher
University of Thi-Qar Research and Development Department
Publication Date
2010-06-30
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Information Technology and Computer Science
Abstract AR
بالاعتماد على مجموعة من التعاريف الأساسية عن مفهوم (The generalized Lyapunov-Like function) و بعض أنواع الاستقرارية، قمنا بوضع بعض القيود على دالة ليابنوف و التي يمكن بواستطها الحصول على تهذه الأنواع من الاستقرارية بالاعتماد على بعض الفرضيات التي تعتمد أساسا على هذه الدالة.
و قد برهنا في مجموعة من النظريات بأن هذه القيود و الفرضيات على دالة ليابنوف تؤدي إلى تحقق الشروط التي تجعل النظام المستخدم مستقرا و بأنواع مختلفة باختلاف تلك القيود و الفرضيات و قد حصلنا على أربعة أنواع من الاستقرارية هي (Globally stable, globally asymptotically stable, exponentially stable and uniformly exponentially stable).
Abstract EN
By using the definition of generalized Lyapunov-Like function and some types of Stability, we give a new bounds for Lyapunov function, which is lead to getting some types of stability depending on some hypothesis which is depend on this function.
we proved that those bounds and hypothesis on Lyapunov function satisfies the conditions where the using nonlinear systems will be stable, also the type of stability of the system depends on those bounds and hypothesis.
We got four types of stability which are (globally stable, globally asymptotically stable, exponentially stable and uniformly exponentially stable).
American Psychological Association (APA)
Husayn, Shahid Nasir. 2010. Some types of stability for nonlinear systems using generalized lyapunov-like function. University of Thi-Qar Journal،Vol. 5, no. 0, pp.1-9.
https://search.emarefa.net/detail/BIM-254678
Modern Language Association (MLA)
Husayn, Shahid Nasir. Some types of stability for nonlinear systems using generalized lyapunov-like function. University of Thi-Qar Journal Vol. 5, no. 0 (Jun. 2010), pp.1-9.
https://search.emarefa.net/detail/BIM-254678
American Medical Association (AMA)
Husayn, Shahid Nasir. Some types of stability for nonlinear systems using generalized lyapunov-like function. University of Thi-Qar Journal. 2010. Vol. 5, no. 0, pp.1-9.
https://search.emarefa.net/detail/BIM-254678
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 8-9
Record ID
BIM-254678