For a linear system of second order differential equations the stability is studied by Lyapunov's direct method. The Lyapunov matrix equation is solved and a sufficient condition for stability is expressed by the system matrices. For a system which satisfies the condition for stability the Lyapunov function is used to derive amplitude bounds of displacement and velocity in the homogeneous as well as in the inhomogeneous case. The developed results are illustrated by examples.
|Title of host publication||2003 International Conference Physics and Control. Proceedings.|
|Publication status||Published - 2003|
|Event|| International Conference on Physics and Control (PHYSCON 2003) - St. Petersburg, Russian Federation|
Duration: 20 Aug 2003 → 22 Aug 2003
|Conference||International Conference on Physics and Control (PHYSCON 2003)|
|Period||20/08/2003 → 22/08/2003|