Dynamic Models Synthesys of Informational Control in Multiagent Networks

The authors have built the band matrixes of the dynamic model of information control for multiagent network, which is the oriented graph with the set of vertexes (agents) and the set of arcs, representing connections between agents. The relationship between the controllability of this model and stabile behavior is defined. The method of synthesis for a dynamic model of information control is devised for multiagent network, providing the specified spectra that is controlled by the state. The multilevel decomposition of discrete linear model of information ensuring is assumed as a basis of synthesis. The authors have been obtained the control laws, guaranteeing the end of the transition process for not more than the number of ticks equal to the vector length of the state for the model of information ensuring.

References

[1] Gubanov D.A., Novikov D.A., Chkhartishvili A.G. Informational influence and information control models in social networks. Problemy upravleniya [Control sciences], 2009, no. 5, pp. 28-35 (in Russ.).

[2] Gubanov D.A., Novikov D.A., Chkhartishvili A.G. Models of influence in social networks. Upravlenie bol’shimi sistemami [Large-scale Systems Control], 2009, no. 27, pp. 205-281 (in Russ.).

[3] Chkhartishvili A.G. Teoretiko-igrovye modeli informatsionnogo upravleniya [Game theoretic model of information control]. Moscow, PMSOFT Publ., 2004. 227 p.

[4] Novikov D.A. Teoriya upravleniya organizatsionnymi sistemami [Control theory of organizational systems]. Moscow, Fizmatlit Publ., 2007. 584 p.

[5] Barabanov I.N., Korgin N.A., Novikov D.A., Chkhartishvili A.G. Dynamic models of informational control in social networks. Avtomat. i Telemekh. [Automation and Remote Control, vol. 71, no. 11, pp. 2417-2426], 2010, no. 11, pp. 172-182 (in Russ.).

[6] Misrikhanov M.Sh., Ryabchenko V.N. Analysis and synthesis of linear dynamic systems based on banded formulas. Vestn. Ivanovskiy Gos. Energ. Univ. [Herald of the Ivanovo State Power Eng. Un.], 2005, iss. 5, pp. 243-248 (in Russ.).

[7] Misrikhanov M.Sh., Ryabchenko V.N. The band formula for solution of A.N. Krylov’s problem. Avtom. i Telemekh. [Automation and Remote Control, vol. 68, no. 12, pp. 2142-2157], 2007, no. 12, pp. 53-69 (in Russ.).

[8] Zubov N.E., Mikrin E.A., Misriknanov M.Sh., Ryabchenko V.N. Band formulas for analysis and synthesis of controlled dynamic MIMO-systems. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Priborostr. [Herald of the Bauman Moscow State Tech. Univ., Mech. Eng.], 2014, no. 3, pp. 3-15 (in Russ.).

[9] Misrikhanov M.Sh., Ryabchenko V.N. Algebraic and matrix methods in the theory of linear MIMO-systems. Vestn. Ivanovskiy Gos. Energ. Univ. (IGEU) [Herald of the Ivanovo State Power Eng. Un.], 2005, vol. 5, рр. 196-240 (in Russ.).

[10] Misrikhanov M.Sh., Ryabchenko V.N. Pole placement in large dynamical systems with many inputs and outputs. Dokl. Akad. Nauk [Dokl. Math., vol. 84, no. 1, рр. 591-593], 2011, vol. 439, no. 4, pp. 464-466 (in Russ.).

[11] Misrikhanov M.Sh., Ryabchenko V.N. Pole placement for controlling a large scale power system. Avtom. i Telemekh. [Automation and Remote Control, vol. 72, no. 110, pp. 2123-2146], 2011, no. 10, pp. 129-153 (in Russ.).

[12] Zubov N.E., Mikrin E.A., Misriknanov M.Sh., Ryabchenko V.N. Synthesis of decoupling laws for attitude stabilization of a spacecraft. Izv. RAN. Teoriya i sistemy upravleniya [J. Computer and Systems Sciences International, vol. 51, pp. 80-96], 2012, no. 1, pp. 92-108 (in Russ.).