# Control of coupled oscillator networks with application to microgrid technologies

@article{Skardal2015ControlOC, title={Control of coupled oscillator networks with application to microgrid technologies}, author={Per Sebastian Skardal and Alex Arenas}, journal={Science Advances}, year={2015}, volume={1} }

Nonlinear control is applied to coupled oscillator networks to attain full synchronization. The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent research into smart grid technologies, we study the control of synchronization and consider the important case of networks of coupled phase oscillators with nonlinear…

## 83 Citations

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- 2016

The control of network-coupled limit cycle oscillators is studied, extending the previous work that focused on phase oscillators, and aims to attain complete frequency synchronization by applying control to as few oscillators as possible.

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This work extends the Synchrony Alignment Function (SAF) framework to analyze network-coupled oscillators with heterogeneous natural frequencies that are drawn as a multivariate random vector and obtains expressions for the expectation and variance of the SAF for given network structures.

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- 2016

This work studies how network modifications affect the synchronization properties of network-coupled dynamical systems that have heterogeneous node dynamics (e.g., phase oscillators with non-identical frequencies), which is often the case for real-world systems.

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“grass-roots” optimization of synchronization is presented, which is a multiscale mechanism in which local optimizations of smaller subsystems cooperate to collectively optimize an entire system.

### Enhancing network synchronizability by strengthening a single node.

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- 2019

A single-node-based scheme for improving synchronization is proposed: the eigenvector-centrality-based strengthening scheme, which has a clear advantage over the conventional ones based on betweenness, closeness, and degree centralities.

### Critical phenomena induced by intertwined dynamics on multiplex networks

- Physics
- 2014

Network-coupled dynamical processes have emerged as a powerful tool to model and study a wide variety of complex phenomena. Significant research has increased our understanding of many complex…

### Controlling and enhancing synchronization through adaptive phase lags.

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The threshold for instability for the adaptive lag model shows robustness against variations in the associated time constant down to lower densities of controlled oscillators and a simple intuitive model emerges based on the interaction between splayed clusters close to a critical point.

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