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Sparse Linear Ensemble Systems and Structural Averaged Controllability: Single-input Case

2023/12/14 by Chen, Xudong, Gharesifard, Bahman
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2312.09083

Abstract

We consider continuum ensembles of linear time-invariant control systems with single inputs. A sparsity pattern is said to be structurally averaged controllability if it admits an averaged controllable linear ensemble system. We provide a necessary and sufficient condition for a sparsity pattern to be structurally averaged controllable.

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