An Application of the Direct Method of Liapunov in Stability Analysis of Semilinear Systems
Available Online August 2015.
- https://doi.org/10.2991/msam-15.2015.45How to use a DOI?
- quasi-linear PDEs; liapunov's functional; sign defi-nite integral form; asymptotic stability
- 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.
- 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 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 - https://doi.org/10.2991/msam-15.2015.45 ID - Dobovšek2015/08 ER -