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

DOI

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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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
BT  - Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SP  - 198
EP  - 204
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.45
DO  - 10.2991/msam-15.2015.45
ID  - Dobovšek2015/08
ER  -