Generalized Stability of Motion and Vector Lyapunov Functions
Abstract
**Please note that the full text is embargoed** ABSTRACT: The direct theory for stability of motion in
terms of vector Lyapunov functions and the
general comparison method is well-developed
[4, 5, 6, 7] and effectively applied for
large scale dynamical systems [1, 3].
However, the problem of constructing vector
Lyapunov functions and developing appropriate
perturbation theory has seen very little
progress. Perhaps one of the reasons for this
situation is that the stability definitions
by means of the standard norm are not
flexible enough for such a venture.