caa a22 4500 606217088 CHVBK 20210128101106.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10598-014-9257-7 doi (NATIONALLICENCE)springer-10.1007/s10598-014-9257-7 Construction of Optimal Control Laws for a Model of Information Diffusion in a Social Group [Elektronische Daten] [S. Avvakumov, Yu. Kiselev] The article investigates a modified model of information propagation (diffusion). The model differs from the original model [2] by the choice of the optimized functional. The one-dimensional nonlinear optimal control problem is posed and solved by the Pontryagin maximum principle. It is shown that the optimal control is a relay function of time with at most one switching point. For some particular cases, the optimal-control switching point allows an explicit analytical description in terms of the problem parameters. In the general case, the optimal solution can be constructed by solving numerically the maximum-principle boundary-value problem. A one-dimensional convex minimization problem on a finite time interval (the planning horizon) is suggested for finding the optimal-control switching point. Easily verified condition on the problem parameters are given, guaranteeing the existence of the optimalcontrol switching point. Springer Science+Business Media New York, 2014 optimal control nationallicence information dissemination model nationallicence Avvakumov S. Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics, Moscow, Russia aut Kiselev Yu Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics, Moscow, Russia aut Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/1(2015-01-01), 61-86 1046-283X 26:1<61 2015 26 10598 https://doi.org/10.1007/s10598-014-9257-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10598-014-9257-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Avvakumov S. Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics, Moscow, Russia aut NATIONALLICENCE 700 1- Kiselev Yu Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics, Moscow, Russia aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/1(2015-01-01), 61-86 1046-283X 26:1<61 2015 26 10598