Document Type
Report
Source Publication Title
Technical Report 23
Abstract
Two recent papers [2,3] have combined the techniques of the Lyapunov method and the nonlinear variation of parameters to study the effects of perturbations of nonlinear differential systems. In this paper, we generalize the results obtained in [2,3] by the use of several Lyapunov functions and the concept of a generalized norm. To convince ourselves that we do have more flexibility in working with the generalized norm and vector Lyapunov functions see [1,4].
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
3-1-1975
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Moore, Marion E. and Mitchell, Roger W., "Vector Lyapunov Functions and Perturbations of Nonlinear Systems" (1975). Mathematics Technical Papers. 93.
https://mavmatrix.uta.edu/math_technicalpapers/93