Document Type
Report
Source Publication Title
Technical Report 16
Abstract
The method of vector Lyapunov functions consists of employing several Lyapunov-like functions and the theory of vectorial differential inequalities. This general comparison technic leads to a more flexible mechanism to study the qualitative properties of nonlinear differential systems. This method is also effective in discussing interconnected dynamical systems where a construction of a single Lyapunov function is difficult. However, an unpleasant fact in this approach is the requirement of quasimonotone property of the comparison system. An idea to get around this will be indicated which might be useful in applications. Also, an extension of this technic to abstract cones will be discussed.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
9-1-1974
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Lakshmikantham, V., "On the Method of Vector Lyapunov Functions" (1974). Mathematics Technical Papers. 51.
https://mavmatrix.uta.edu/math_technicalpapers/51