基于微观仿真器的粗分叉图：一种基于状态反馈控制的方法
Coarse Bifurcation Diagrams via Microscopic Simulators: A State-Feedback Control-Based Approach
摘要：
弧长连续框架用于状态反馈控制律的设计，使微观模拟器跟踪自己的开环粗分叉图。通过操纵分岔参数，使系统沿着解分支转向，分岔参数成为我们的执行器。该设计方法是基于这样的假设，即线性化系统的特征值可以分解成两个分离的集群：一个包含具有大的负实部的特征值和一个包含（可能不稳定）接近原点的特征值。
英文摘要：
The arc-length continuation framework is used for the design of state feedback control laws that enable a microscopic simulator trace its own open-loop coarse bifurcation diagram. The steering of the system along solution branches is achieved through the manipulation of the bifurcation parameter, which becomes our actuator. The design approach is based on the assumption that the eigenvalues of the linearized system can be decomposed into two well separated clusters: one containing eigenvalues with large negative real parts and one containing (possibly unstable) eigenvalues close to the origin.
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。
