Nonlinear control of networked dynamical systems.
Nonlinear control of networked dynamical systems.
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DOI：
10.1109/tnse.2020.3032117
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发表时间：
2021-01
影响因子：
6.6
通讯作者：
Kutz JN
中科院分区：
文献类型：
--
作者：
Morrison M;Kutz JN
We develop a principled mathematical framework for controlling nonlinear, networked dynamical systems. Our method integrates dimensionality reduction, bifurcation theory, and emerging model discovery tools to find low-dimensional subspaces where feed-forward control can be used to manipulate a system to a desired outcome. The method leverages the fact that many high-dimensional networked systems have many fixed points, allowing for the computation of control signals that will move the system between any pair of fixed points. The sparse identification of nonlinear dynamics (SINDy) algorithm is used to fit a nonlinear dynamical system to the evolution on the dominant, low-rank subspace. This then allows us to use bifurcation theory to find collections of constant control signals that will produce the desired objective path for a prescribed outcome. Specifically, we can destabilize a given fixed point while making the target fixed point an attractor. The discovered control signals can be easily projected back to the original high-dimensional state and control space. We illustrate our nonlinear control procedure on established bistable, low-dimensional biological systems, showing how control signals are found that generate switches between the fixed points. We then demonstrate our control procedure for high-dimensional systems on random high-dimensional networks and Hopfield memory networks.
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影响因子：
3
作者：
Conzelmann H;Saez-Rodriguez J;Sauter T;Kholodenko BN;Gilles ED
通讯作者：
Gilles ED
影响因子：
2.2
作者：
Dylewsky, Daniel;Yang, Xiu;Kutz, J. Nathan
通讯作者：
Kutz, J. Nathan
影响因子：
3.4
作者：
FITZHUGH, R
通讯作者：
FITZHUGH, R
DOI：
10.1073/pnas.1517384113
发表时间：
2016-04-12
影响因子：
11.1
作者：
Brunton, Steven L.;Proctor, Joshua L.;Kutz, J. Nathan
通讯作者：
Kutz, J. Nathan
影响因子：
56.9
作者：
Briggman, KL;Abarbanel, HDI;Kristan, WB
通讯作者：
Kristan, WB