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arXiv · 1710.10244

Minimal Reachability is Hard To Approximate

Ali Jadbabaie·Alexander Olshevsky·George J. Pappas·Vasileios Tzoumas
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Abstract

In this note, we consider the problem of choosing which nodes of a linear dynamical system should be actuated so that the state transfer from the system's initial condition to a given final state is possible. Assuming a standard complexity hypothesis, we show that this problem cannot be efficiently solved or approximated in polynomial, or even quasi-polynomial, time.

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Ali Jadbabaie, Alexander Olshevsky, George J. Pappas, Vasileios Tzoumas. 2017-10-27. Minimal Reachability is Hard To Approximate. https://arxiv.org/abs/1710.10244

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