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arXiv · 1506.03125

Controllability of random systems: Universality and minimal controllability

Sean O'Rourke·Behrouz Touri
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Abstract

For a large class of random matrices $A$ and vectors $b$, we show that linear systems formed from the pair $(A,b)$ are controllable with high probability. Despite the fact that minimal controllability problems are, in general, NP-hard, we establish universality results for the minimal controllability of random systems. Our proof relies on the recent developments of Nguyen-Tao-Vu concerning gaps between eigenvalues of random matrices.

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Sean O'Rourke, Behrouz Touri. 2015-06-09. Controllability of random systems: Universality and minimal controllability. https://arxiv.org/abs/1506.03125

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