Controllability Issues of Linear Ensemble Systems over Multi-dimensional Parameterization Spaces

2020/03/10 by Chen, Xudong · 2 citations
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2003.04529

Abstract

We address an open problem in ensemble control: Whether there exist controllable linear ensemble systems over multi-dimensional parameterization spaces? We provide a negative result: Any real-analytic linear ensemble system is not L^p-controllable, for 2≤ p ≤ ∞, if its parameterization space contains an open set in ℝ^d for d ≥ 2.

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