On global stabilization of Burgers’ equation by boundary control
✍ Scribed by Miroslav
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 147 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0167-6911
No coin nor oath required. For personal study only.
✦ Synopsis
Although often referred to as a one-dimensional "cartoon" of Navier-Stokes equation because it does not exhibit turbulence, the Burgers equation is a natural ÿrst step towards developing methods for control of ows. Recent references include Burns and Kang [
📜 SIMILAR VOLUMES
In order to use the optimal control techniques in models of geophysical flow circulation, an application to a 1D advection-diffusion equation, the so-called Burgers' equation, is described. The aim of optimal control is to find the best parameters of the model which ensure the closest simulation to
## Abstract This paper is concerned with adaptive global stabilization of the sine‐Gordon equation without damping by boundary control. An adaptive stabilizer is constructed by the concept of high‐gain output feedback. The closed‐loop system is shown to be locally well‐posed by the Banach fixed poi
This work addresses the problem of global exponential stabilization of the Kuramoto-Sivashinsky equation (KSE) subject to periodic boundary conditions via distributed static output feedback control. Under the assumption that the number of measurements is equal to the total number of unstable and cri