Loughborough University
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Stability over a finite time interval

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posted on 2018-08-06, 09:13 authored by Ali M. Ben Lashiher
This thesis will be concerned with the study of the new concept of final-stability which is a direct generalisation of the theory of stability over a finite time interval. The introduction deals with an intuitive historical development which leads to the concept under consideration. The main part, chapters I and II, is devoted to the study of differential systems. Precise definitions of the concept are stated, and a corresponding theory is established. Use has been extensively made of Liapunov-like functions. The possible relationship with the theory of controllability is indicated. Dynamical and discrete systems are then studied in some detail. For dynamical systems, a somewhat different approach is considered. Finally, possible future topics of research are suggested and discussed.


Libya, Government. University of Libya (Tripoli/Benghazi).



  • Science


  • Mathematical Sciences


© Ali Mustafa Ben Lashiher

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This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

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A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.


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