标题： 非均匀框架下的可观测性检测：与可控性和可镇定性的对偶关系 显示英文标题

标题： Detectability via observability in a nonuniform framework: dual relationship with controllability and stabilizability

摘要： 在本文中，我们提出了一种非自治有限维线性控制系统的新型可观测性性质：非一致完全可观测性，它比一致完全可观测性更为一般。 建立这种新的可观测性概念与最近定义的非一致完全可控性性质之间的对偶关系，旨在得到主要结果，即证明非一致完全可观测性保证了非一致指数可检测性，这是一个与该框架中指数稳定性相关的概念。 显示英文摘要

摘要： In this paper we propose a new observability property for nonautonomous linear control systems in finite dimension: the nonuniform complete observability, which is more general than the uniform complete observability. A dual relationship is established between this new notion of observability and the recently defined nonuniform complete controllability property, with the aim of obtaining the main result, which proves that nonuniform complete observability guarantees the nonuniform exponential detectability, a concept related to exponential stability in this framework.