Mathematical Sciences: Exact Controllability and Uniform Stabilization for Higher Dimensional Wave and Plate Equations

这个建议是为了支持研究生 参与教授指导下的项目 拉西卡，特里贾尼和拉尼塞。 该项目涉及边境管制， 波动型偏微分方程系统 定义为多维空间中的有界域。 问题 包括精确可控性， 一致镇定和渐近稳定的鲁棒性 结构扰动下的性质。 上述理论发展的应用 广泛应用于机械和电气系统。 一个示例 可能是减少大型空间结构的振荡。 另一个可能与机器人手臂的控制有关。 这 活动将有助于培训科学家， 解决现代工程师面临的一些挑战。

This proposal is for the support of graduate students involved in a project under the direction of Professors Lasiecka, Triggiani and Lagnese. The particular project is related to the boundary control of systems described by wave-type partial differential equations defined as a bounded domain in many dimension space. Problems to be investigated include those of exact controllability, uniform stabilization, and robustness of asymptotic stability properties under structural perturbations. Applications of the theoretical developments mentioned above are widespread in mechanical and electrical systems. One example might be the reduction in oscillations in large space structures. Another might be related to the control of robot arms. This activity will contribute to the training of scientists who can address some of the challenges facing modern engineers.