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.