Abstract
In this paper, we dealt with the issue of the regularity of the linear extension of the dynamical system. Using the Lyapunov function with the changeable sign, conditions for the regularity of the entire examined dynamical system were given, assuming that only a certain separate part of this system was regular. Our results were generalized and improved to the wider class of dynamical systems, for which only a certain combination of components is regular.
| Original language | English |
|---|---|
| Pages (from-to) | 602-610 |
| Number of pages | 9 |
| Journal | Nonlinear Analysis: Modelling and Control |
| Volume | 19 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 25 Aug 2014 |
Keywords
- Green's function
- Linear extension of dynamical systems
- Linear regular extensions
- Lyapunov's function
- Positive definite matrix
- Quadratic form
- Weak regularity
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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