US-France Cooperative Research (INRIA): Control of Interactive Structures with Dynamic Shells

[0226961] lasiecka这个为期三年的美法应用数学合作奖涉及弗吉尼亚大学和法国罗库库尔国家信息与自动化研究所（INRIA）的研究团队和法国索菲亚安提波利斯。在美国的Irena Lasiecka和法国的Michel Bernadou的带领下，研究人员提议研究由偏微分方程描述的控制理论模型的一般领域的问题。主题涉及动态壳模型的稳定和最优控制，其中控制动作和传感是通过智能材料技术实现的。这些包括压电陶瓷或压电元件，磁致伸缩装置和流变流体。理论分析，重点是逆类型的估计，最终将与数值算法和收敛分析。本文将探讨控制建模的两种方法。首先，压电壳模型将由法国团队进行研究。美国的专业知识补充了这一方法，该方法基于附着在弯曲壁上的压电片。这些互补的方法将导致两种不同的控制模型。该奖项代表了美国方面向NSF和INRIA提出的平行提案。美国国家科学基金会将承担美国研究人员和研究生每年访问法国的旅费和生活费。INRIA将支持法国研究人员访问美国。该项目将促进对控制模型及其在智能材料技术和材料工程中的应用的理解。

0226961LasieckaThis three-year award for US-France collaboration in applied mathematics involves research teams at the University of Virginia and the Institut National pour la Recherche en Informatique et en Automatique (INRIA) in Rocquencourt and Sophia Antipolis, France. Led by Irena Lasiecka in the US and Michel Bernadou in France, the researchers propose to study problems in the general area of control theory models described by partial differential equations. The topics are related to stabilization and optimal control of dynamical shell models where control actions and sensing are implemented via smart materials technology. These include piezoceramic or peizoelectric elements, magnetostrictive devices and rheological fluids. The theoretical analysis, with a focus on inverse type of estimates, will culminate with numerical algorithms and convergence analysis. Two approaches to control modeling will be pursued. The first, piezoelectric shell modeling, will be investigated by the French team. This is complemented by US expertise in an approach based on piezoelectric patches attached to a curved wall. These complementary approaches will lead to two different control models.This award represents the US side of parallel proposals to the NSF and INRIA. NSF will cover travel funds and living expenses for annual visits to France by the US investigator and graduate student. INRIA will support visits by French researchers to the United States. The project will advance understanding of control models and their applications to smart materials technology and materials engineering.