论文标题
通过可检测性不等式来表征线性时间周期性进化系统的定期稳定
Characterization by detectability inequality for periodic stabilization of linear time-periodic evolution systems
论文作者
论文摘要
鉴于在带有有界控制操作员的希尔伯特空间中的线性时间周期控制系统，我们以可检测性不平等的方式表征了定期稳定的表征。类似的表征是在[E. Trelat，G。Wang，Y。Xu，可观察性不平等和稳定特性的特征，纯净和应用。肛门，2（2020），93-122]用于时间不变的系统。
Given a linear time-periodic control system in a Hilbert space with a bounded control operator, we present a characterization of periodic stabilization in terms of a detectability inequality. Similar characterizationwas built up in [E. Trelat, G. Wang, Y. Xu, Characterization by observability inequalities of controllability and stabilization properties, Pure and Appl. Anal., 2 (2020), 93-122] for time-invariant systems.
