GLOBAL CONTROLLABILITY OF NONVISCOUS AND VISCOUS BURGERS-TYPE EQUATIONS

被引：35

作者：

Chapouly, Marianne ^{[1
]}

机构：

[1] Univ Paris 11, Math Lab, F-91045 Orsay, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2009年 / 48卷 / 03期

关键词：

global exact controllability; Burgers-type equations; return method; EXACT BOUNDARY CONTROLLABILITY; INCOMPRESSIBLE PERFECT FLUIDS; 3-D EULER EQUATION; HYPERBOLIC SYSTEMS;

D O I：

10.1137/070685749

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

080201 [机械制造及其自动化];

摘要：

In this paper, we deal with both nonviscous and viscous Burgers-type equations on a bounded interval. We study the global exact controllability of these equations when we have three controls: one control is the right member of the equation and is constant with respect to the space variable; the two others are the boundary values. For a first time, we are interested in nonviscous Burgers-type equations and we prove their global exact controllability for every time T > 0 with such controls thanks to the return method. Then we prove the global exact controllability of the viscous Burgers equation for every time T > 0.

引用

页码：1567 / 1599

页数：33

共 21 条

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