反馈等价与一致系综可达性
Feedback equivalence and uniform ensemble reachability
摘要：
研究了参数依赖线性系$(A(θ),B(θ))$的系综可达性的反馈方法，其中参数$θ$在复平面的紧致若尔当弧上变化.最近，一致系综可达性的逐点可测充分条件得到了发展。除了逐点可达性的必要性，这些条件限制了矩阵$A(θ)$的谱和对$(A(θ),B(θ))$的Hermite指数。在本文中，我们表明，这些条件可以确保通过应用一个适当的反馈变换，如果对$(A(θ),B(θ))$是逐点可达的，它的克罗内克指数是独立的参数。
英文摘要：
This paper considers feedback methods for ensemble reachability of parameter-dependent linear systems $(A(θ),B(θ))$, where the parameter $θ$ is varying over a compact Jordan arc in the complex plane. Recently, pointwise testable sufficient conditions for uniform ensemble reachability have been developed. Beside the necessity of pointwise reachablility these conditions put restrictions on the spectra of the matrices $A(θ)$ and the Hermite indices of the pair $(A(θ),B(θ))$. In this paper we show that these conditions can be ensured by applying a suitable feedback transformation if the pair $(A(θ),B(θ))$ is pointwise reachable and it Kronecker indices are independent from the parameter.
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。
