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
Stabilization of the Boussinesq equation via internal feedback controls
β Scribed by Gengsheng Wang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 204 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper we show that the steady-state solutions to Boussinesq equations in threedimensional domain , are stabilizable by internal controllers with the supports in subsets !; !1 β under some conditions on ! and !1.
π SIMILAR VOLUMES
This paper is concerned with the existence and the maximum principle for the optimal control problem governed by the Boussinesq equation. The case of internal controllers supported on ! β is examined.
In this paper, we shall show that the H 3 Γ H 3 steady-state solutions to Boussinesq equations in n-dimensional bounded domain , n =2; 3, are locally controllable by internal controllers with the support in subsets ! β .