论文标题
线性时间变化系统的均匀可检测性，指数二分法
Uniform Detectability of Linear Time Varying Systems with Exponential Dichotomy
论文作者
论文摘要
指数二分法在动态系统的稳定性理论中起着核心作用。它们允许将状态空间拆分为两个子空间，在一个子空间中，所有轨迹均衰减中的所有轨迹，而另一个子空间中的所有轨迹均匀和指数呈指数增长。本文研究线性时间变化系统的统一可检测性和可观察性概念，该系统接受了指数二分法。对于这类系统，主要贡献是必要和足够的可检测性条件。
Exponential dichotomies play a central role in stability theory for dynamical systems. They allow to split the state space into two subspaces, where all trajectories in one subspace decay whereas all trajectories in the other subspace grow, uniformly and exponentially. This paper studies uniform detectability and observability notions for linear time varying systems, which admit an exponential dichotomy. The main contributions are necessary and sufficient detectability conditions for this class of systems.
