Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

An Application of the Direct Method of Liapunov in Stability Analysis of Semilinear Systems

Authors
Igor Dobovšek
Corresponding Author
Igor Dobovšek
Available Online August 2015.
DOI
https://doi.org/10.2991/msam-15.2015.45How to use a DOI?
Keywords
quasi-linear PDEs; liapunov's functional; sign defi-nite integral form; asymptotic stability
Abstract
An application of the direct method of Liapunov for establishing stability criteria of smooth solutions for a certain class of initial boundary value problems described by a system of semi-linear hyperbolic partial differential equations is discussed. The concept of Liapunov-like functional is utilized to investigate some qualitative and quantitative stability properties of classical solutions for a system of semi-linear partial differential equa¬tions. The advantage of the method is that it does not require the explicit knowledge of solutions. This feature may have a signifi-cant impact on practical applications.
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Proceedings
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-15.2015.45How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Igor Dobovšek
PY  - 2015/08
DA  - 2015/08
TI  - An Application of the Direct Method of Liapunov in Stability Analysis of Semilinear Systems
PB  - Atlantis Press
SP  - 198
EP  - 204
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.45
DO  - https://doi.org/10.2991/msam-15.2015.45
ID  - Dobovšek2015/08
ER  -