Characterization by detectability inequality for periodic stabilization of linear time-periodic evolution systems

2020/10/23 by Yashan Xu, Xu, Yashan
Computer Science · Engineering · #93B05 #93B07 #93C20 #Advanced Mathematical Modeling in Engineering #Control and Stability of Dynamical Systems #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2010.12137

openalex publication_date 2020/10/23 · openalex created_date 2020/10/29 · openalex updated_date 2026/07/28

Abstract

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.

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