2134/34303 Ali M. Ben Lashiher Ali M. Ben Lashiher Stability over a finite time interval Loughborough University 2018 untagged Mathematical Sciences not elsewhere classified 2018-08-06 09:13:49 Thesis https://repository.lboro.ac.uk/articles/thesis/Stability_over_a_finite_time_interval/9375797 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.