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On Pinning Control of Complex Networks - LTH:对复杂网络的牵制控制状况.pdf

On Pinning Control of Complex Networks - LTH:对复杂网络的牵制控制状况.pdf

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On Pinning Control of Complex Networks - LTH:对复杂网络的牵制控制状况

On Pinning Control of Complex Networks G Ron Chen City University of Hong Kong Keywords: Complex Network Pinning Control Motivation: An Example C. elegans In its neural network: Neurons: ~ 300 Synapses: ~ 7000 Excerpt The worm Caenorhabditis elegans has 297 nerve cells. The neurons switch one another on or off, and, making 2345 connections among themselves, They form a network that stretches through the nematode’s millimeter-long body. How many neurons would you have to commandeer to control the network with complete precision? The answer is 49 -- Adrian Cho, Science, 13 May 2011, Vol 332, p 777 Here, control = stimuli Now … o Given a network of dynamical systems o Given a specific control objective (e.g. synchronization) o Assume: a certain class of controllers (e.g., local state- feedback controllers) have been chosen to use Graph: DataInsight consulting company, Princeton, NJ, USA Questions:  How many controllers to use?  Where to put them

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