论文标题
在非线性系统的BANACH空间上对执行器的形状优化
Shape Optimization of Actuators over Banach Spaces for Nonlinear Systems
论文作者
论文摘要
在本文中，讨论了非线性抛物线系统的最佳执行器形状。所研究的系统是一个抽象的微分方程，具有局部Lipschitz非线性部分。考虑了系统的二次成本和系统的输入。在文献中已经建立了最佳的致动子形状。本文着重于推动属于Banach空间的执行器形状的最佳条件。考虑了该理论在铁路轨道模型中的最佳执行器形状设计中的应用。
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.
