Abstract
Historical and modern approaches towards heterogeneous models and hierarchical modeling in control theory are listed. A unified approach towards a design of hierarchical models of multiagent systems is described and illustrated by the example of diffuse bomb model. Problems of “hierarchical automation” in organization-technical and production systems are described. General problems of hierarchical modeling are underlined.
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References
Novikov, D.: Cybernetics: From Past to Future, 107 p. Springer, Berlin (2016)
Mesarović, M., Mako, D., Takahara, Y.: Theory of Hierarchical Multilevel Systems, 294 p. Academic, New York (1970)
Ren, W., Yongcan, C.: Distributed Coordination of Multi-agent Networks, 307 p. Springer, London (2011)
Shoham, Y., Leyton-Brown, K.: Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations, 504 p. Cambridge University Press, Cambridge (2008)
Wooldridge, M.: An Introduction to Multi-Agent Systems, 376 p. Wiley, New York (2002)
Novikov, D.: Hierarchical models of warfare. Autom. Remote Control 74(10), 1733–1752 (2013)
Boyd, S., Parikh, N., Chu, E., et al.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3(1), 1–122 (2011)
Nisan, N., Roughgarden, T., Tardos, E., Vazirani, V. (eds.): Algorithmic Game Theory, 776 p. Cambridge University Press, New York (2009)
Mansour, Y.: Computational Game Theory, 150 p. Tel Aviv University, Tel Aviv (2003)
Novikov, D., Chkhartishvili, A.: Reflexion and Control: Mathematical Models, 298 p. CRC Press, London (2014)
Forrest, J., Novikov, D.: Modern trends in control theory: networks, hierarchies and interdisciplinarity. Adv. Syst. Sci. Appl. 12(3), 1–13 (2012)
Korepanov, V., Novikov, D.: The diffuse bomb problem. Autom. Remote Control 74(5), 863–874 (2013)
Novikov, D.: Big data and big control. Adv. Syst. Stud. Appl. 15(1), 21–36 (2015)
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Novikov, D.A. (2016). Hierarchical Models in Modern Control Theory. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Challenges in Automation, Robotics and Measurement Techniques. ICA 2016. Advances in Intelligent Systems and Computing, vol 440. Springer, Cham. https://doi.org/10.1007/978-3-319-29357-8_1
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DOI: https://doi.org/10.1007/978-3-319-29357-8_1
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