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Networkcontrology.

Adilson E Motter1

  • 1Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA and Northwestern Institute on Complex Systems (NICO), Northwestern University, Evanston, Illinois 60208, USA.

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Summary
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Scientists are developing new mathematical and computational methods to control complex network dynamics. These advances overcome challenges posed by nonlinearity and high dimensionality, enabling applications across disciplines.

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Area of Science:

  • Complex Systems Science
  • Network Science
  • Control Theory

Background:

  • Many complex systems are modeled as networks of coupled dynamical entities.
  • Nonlinearity and high dimensionality characterize these network dynamics.
  • These features have historically presented significant challenges for effective control.

Purpose of the Study:

  • To discuss recent advances in controlling high-dimensional nonlinear network dynamics.
  • To explore mathematical and computational approaches for network control.
  • To highlight the potential applications of network control in various scientific fields.

Main Methods:

  • Review of mathematical approaches for network control.
  • Discussion of computational strategies for intervention.
  • Consideration of control under general constraints on admissible interventions.

Main Results:

  • Advances in controlling complex network dynamics have been made.
  • New methods address nonlinearity and high dimensionality.
  • Potential applications span diverse scientific disciplines.

Conclusions:

  • Mathematical and computational tools are advancing the control of complex network dynamics.
  • Overcoming nonlinearity and high dimensionality is key.
  • Network control offers promising solutions for scientific challenges.