Controllability Issues of Linear Ensemble Systems

10 Mar 2020 Chen Xudong

We address an open problem in ensemble control: Whether there exist controllable linear ensemble systems over high dimensional parameterization spaces? We provide a negative answer: Any real-analytic linear ensemble system is not $\mathrm{L}^p$-controllable, for $2\le p \le \infty$, if the dimension of its parameterization space is greater than one...

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