Growing controllable networks via whiskering and submodular optimization

MH de Badyn, M Mesbahi - 2016 IEEE 55th Conference on …, 2016 - ieeexplore.ieee.org
The topology of a network directly influences the behaviour and controllability of dynamical
processes on that network. Therefore, the design of network topologies is an important area
of research when examining the control of distributed systems. We discuss a method for
growing networks known as whiskering, as well as generalizations of this process, and
prove that they preserve controllability. We then use techniques from submodular
optimization to analyze optimization algorithms for adding new nodes to a network to …

Growing Controllable Networks via Whiskering and Submodular Optimization

M Hudoba de Badyn, M Mesbahi - arXiv e-prints, 2016 - ui.adsabs.harvard.edu
The topology of a network directly influences the behaviour and controllability of dynamical
processes on that network. Therefore, the design of network topologies is an important area
of research when examining the control of distributed systems. We discuss a method for
growing networks known as whiskering, as well as generalizations of this process, and
prove that they preserve controllability. We then use techniques from submodular
optimization to analyze optimization algorithms for adding new nodes to a network to …
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