We study the global smooth solution and the global attractor for a dissipative nonlinear evolution system given by strongly coupled parabolic equations.
On the stabilization of the Timoshenko system by a weak nonlinear dissipation
✍ Scribed by Salim A. Messaoudi; Muhammad I. Mustafa
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 130 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1047
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper we consider the following Timoshenko‐type system:
Without imposing any restrictive growth assumption on g at the origin, we establish a general decay result depending on g and α. Copyright © 2008 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
In the Lyapunov approach employed in this paper, known in the literature as Lyapunov control, or minmar control, robust, global uniform asymptotic stability is achieved by a discontinuous control law which ensures that the Lyapunov derivative is negative despite bounded uncertainty. For that, it is
This article proposes the use of sliding regimes, defined on a suitable input-dependent sliding surface, as a means of making more robust any model-based smooth feedback control scheme designed for the stabilization of a general nonlinear plant. The approach naturally produces a, robust, 'outer loop
An analysis of the effect of parameter perturbations on the stability of input-output linearizing controllers for a class of MIMO discrete-time nonlinear systems is presented. A static-state feedback is designed to input-output linearize a system without perturbations, and it is applied to the same
The distortion of the speaker system, as the terminal end of an audio playback system, can be divided into linear distortion and nonlinear distortion. The authors have carried out research on elimination of linear distortion by using digital filters. In such a process, when the equalization effect a