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- W2129641978 abstract "This article concerns the stabilization for a well-known Lienard's system of ordinary dierential equations modelling oscillatory phenomena. It is known that such a system is asymptotically stable when a linear viscous (motion-activated) damping with constant gain is engaged. However, in many applications it seems more realistic that the aforementioned gain is not con- stant and does depend on the deviation from equilibrium. In this article, we consider a (nonlinear) gain, introduced in (2), which is proportional to the square of such deviation and derive an explicit energy decay estimate for so- lutions of the corresponding damped Lienard's system. We also discuss the place of our result in the framework of stabilization of so-called critical bilinear systems." @default.
- W2129641978 created "2016-06-24" @default.
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- W2129641978 date "2003-06-21" @default.
- W2129641978 modified "2023-09-23" @default.
- W2129641978 title "ENERGY DECAY ESTIMATES FOR LIENARD'S EQUATION WITH QUADRATIC VISCOUS FEEDBACK" @default.
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