Document Type
Report
Source Publication Title
Technical Report 42
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.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
6-1-1976
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Pace, Deborah A. and Mitchell, Roger W., "Generalized Stability of Motion and Vector Lyapunov Functions" (1976). Mathematics Technical Papers. 314.
https://mavmatrix.uta.edu/math_technicalpapers/314