一类输运网络的实部和复部稳定性半径
Real and complex stability radii for a class of transport networks
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中文总结 AI 辅助
研究一类边界控制与观测的双曲型偏微分方程的稳定性，给出实部和复部稳定性半径的显式公式，考虑对偶系统在可控性与可观性方面的应用，并通过实例说明主要结果。
中文摘要 AI 辅助
我们刻画了一类边界控制、边界观测的双曲型偏微分方程的稳定性及其鲁棒性。特别地，表明这类方程的渐近稳定性和指数稳定性是一致的。此外，引入了实部和复部稳定性半径并给出显式公式。还考虑了对偶系统及其在可控性和可观性方面的应用。通过两个例子说明了主要结果。
英文摘要
We characterize stability and its robustness for a class of boundary controlled, boundary observed hyperbolic partial differential equations. In particular, we show that asymptotic and exponential stability coincide for this class. Furthermore, we introduce the real and complex stability radii for which we give explicit formulas. In addition, we consider the dual system and its application to controllability and observability. Our main results are illustrated with two examples.
