巴拿赫空间上非线性系统作动器的形状Optimization
Shape Optimization of Actuators over Banach Spaces for Nonlinear Systems
摘要：
本文讨论非线性抛物型系统的最优作动器形状。所研究的系统是一个具有局部Lipschitz非线性部分的抽象微分方程。考虑了系统的状态和输入的二次费用。在文献中已经建立了最佳致动器形状的存在。本文着重于驱动属于巴拿赫空间的致动器形状的最优性条件。应用该理论对铁路轨道模型作动器形状进行了优化设计。
英文摘要：
In this paper, optimal actuator shape for nonlinear parabolic systems is discussed. The system under study is an abstract differential equation with a locally Lipschitz nonlinear part. A quadratic cost on the state and input of the system is considered. The existence of an optimal actuator shape has been established in the literature. This paper focuses on driving the optimality conditions for actuator shapes belonging to a Banach space. The application of the theory to the optimal actuator shape design for railway track model is considered.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
