Alexander Tselykh, Vladislav Vasilev and Larisa Tselykh. Management of Control Impacts Based on Maximizing the Spread of Influence. International Journal of Automation and Computing, vol. 16, no. 3, pp. 341-353, 2019. DOI: 10.1007/s11633-018-1167-2
Citation: Alexander Tselykh, Vladislav Vasilev and Larisa Tselykh. Management of Control Impacts Based on Maximizing the Spread of Influence. International Journal of Automation and Computing, vol. 16, no. 3, pp. 341-353, 2019. DOI: 10.1007/s11633-018-1167-2

Management of Control Impacts Based on Maximizing the Spread of Influence

  • The choice of fulcrums for control of socio-economic systems represented by directed weighted signed graphs is a topic of current interest. This article proposes a new method for identifying nodes of impact and influential nodes, which will provide a guaranteed positive system response over the growth model. The task is posed as an optimization problem to maximize the ratio of the norms of the accumulated increments of the growth vector and the exogenous impact vector. The algorithm is reduced to solving a quadratic programming problem with nonlinear restrictions. The selection of the most effective vertices is based on the cumulative gains of the component projections onto the solution vector. Numerical examples are provided to illustrate the effectiveness of the proposed method.
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