Control of Complex Networks Dynamics by a Minimum Energy Approach

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Talei Farkhondeh, Mohammad Sadegh | 2021

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 53985 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Rahimi Tabar, Mohammad Reza
Abstract:
Control of complex networks is the main topic in this study. In this thesis, we consider the methods to steer the dynamics of a network from an initial state to the desired final state. To achieve this goal, one needs to inject appropriate control signals from some of the network nodes, known as driver nodes. We consider the quadratic sum of control signals as a cost function, to control the dynamics of the network. By minimising the cost function, we obtain the control signals as well as driver nodes for a linear time-invariant system. As an example, we provide the results of an energy minimization strategy to control the second order Kuramoto and Rössler dynamics in Erdos-Renyi and scale-free networks
Keywords:
Complex Network ; Control ; Cost Function ; Dynamical Systems ; Rossler Oscillator ; Second Order Kuramoto Oscillator