Networkcontrology

Abstract

An increasing number of complex systems are now modeled as networks of coupled dynamical entities. Nonlinearity and high-dimensionality are hallmarks of the dynamics of such networks but have generally been regarded as obstacles to control. Here I discuss recent advances on mathematical and computational approaches to control high-dimensional nonlinear network dynamics under general constraints on the admissible interventions. I also discuss the potential of network control to address pressing scientific problems in various disciplines.

Review article on control of network dynamics published as part of the 25th Anniversary Issue of Chaos

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Cited by in corpus (25)

• The physics of brain network structure, function, and control
• Topological Principles of Control in Dynamical Network Systems
• Control of complex networks requires both structure and dynamics
• Predicting Network Controllability Robustness: A Convolutional Neural Network Approach
• Identification of control targets in Boolean molecular network models via computational algebra
• Toward Stronger Robustness of Network Controllability: A Snapback Network Model
• Knowledge-Based Prediction of Network Controllability Robustness
• Functional observability and target state estimation in large-scale networks
• Benchmarking measures of network controllability on canonical graph models
• Towards Optimal Robustness of Network Controllability: An Empirical Necessary Condition
• A Framework of Hierarchical Attacks to Network Controllability
• The control of brain network dynamics across diverse scales of space and time
• Prevalence and scalable control of localized networks
• Controllability of Social Networks and the Strategic Use of Random Information
• Duality between controllability and observability for target control and estimation in networks
• Measuring the Complexity of Continuous Distributions
• Functional control of network dynamics using designed Laplacian spectra
• On controlling networks of limit-cycle oscillators
• Target Controllability and Target Observability of Structured Network Systems
• Maximal switchability of centralized networks
• Structural Invertibility and Optimal Sensor Node Placement for Error and Input Reconstruction in Dynamic Systems
• Particle filtering of dynamical networks: Highlighting observability issues
• Network structure and dynamics of effective models of non-equilibrium quantum transport
• Global network control from local information
• Locally Optimal Percolation for Network Resilience Dismantling via Fiedler Vector Gradient Iterative Attack