Controllability of Deep-Coupling Dynamical Networks

This paper explores the state controllability of deep-coupling networks with inter-layer couplings, where the nodes of each layer are higher-dimensional linear time-invariant dynamical systems. The collective effects on the network controllability from intra-layer network topologies, node dynamics,...

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Veröffentlicht in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2020-12, Vol.67 (12), p.5211-5222
Hauptverfasser: Wu, Jie-Ning, Li, Xiang, Chen, Guanrong
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Chen, Guanrong
description This paper explores the state controllability of deep-coupling networks with inter-layer couplings, where the nodes of each layer are higher-dimensional linear time-invariant dynamical systems. The collective effects on the network controllability from intra-layer network topologies, node dynamics, external control inputs and inner interactions are extensively explored under two representative inter-layer coupling modes, where the integrated network can be controllable even if the intra-layer network topology is uncontrollable by external inputs. Some necessary and/or sufficient conditions for the network controllability are obtained for the representative two-layer intra-layer couplings of interdependent and drive-response modes. Simulated examples reveal the important role of inter-layer couplings of a controllable deep-coupling dynamical network assembled from uncontrollable intra-layer networks.
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subjects Controllability
Couplings
drive-response mode
inter-layer coupling
interdependent mode
linear time-invariant system
Network controllability
Network topologies
Network topology
Observability
Power grids
Power system dynamics
Stability
Topology
title Controllability of Deep-Coupling Dynamical Networks
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