Abstract:
Control of networks (or networked systems) is an emerging area of the modern automatic control theory. It is characterized by cobination of a classical control theory apparatus (linear systems, nonlinear systems, robust control, etc) with new mathematical ideas coming mainly from graph theory. Methods of control of networks allow to solve the analysis and design problems for complex systems arising in physics, biology, economy, sociology and engineering. In the survey the main directions of the modern control of networks are presented as well as the formulations of its key results, mostly published during the last decade.
This work was supported by the Russian Foundation for Basic Research, project no. 14-08-01015 and St. Petersburg State University, project no. 6.38.230.2015. The fast gradient algorithm (35) for achieving consensus in networks of nonlinear agents has been proposed at IPME RAS with exclusive support of the Russian Science Foundation, project no. 14-29-00142.
Citation:
A. V. Proskurnikov, A. L. Fradkov, “Problems and methods of network control”, Avtomat. i Telemekh., 2016, no. 10, 3–39; Autom. Remote Control, 77:10 (2016), 1711–1740
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