Analysis of a Discrete Model of an Adaptive Control System for Conflicting Nonhomogeneous Flows


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Using the Lyapunov–Yablonsky approach based on cybernetics, we construct and study a mathematical model of an adaptive control system for conflicting flows of nonhomogeneous customers. The state of the facility and queue lengths for conflicting input flows are chosen as the state of the control system. The Markov property of the sequence of states of the system is proved and they are classified. A necessary condition is found for the existence of a stationary mode in the system.

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E. Kudryavtsev

Institute of Information Technologies, Mathematics and Mechanics

编辑信件的主要联系方式.
Email: evgkudryavcev@gmail.com
俄罗斯联邦, Nizhny Novgorod, 603022

M. Fedotkin

Institute of Information Technologies, Mathematics and Mechanics

编辑信件的主要联系方式.
Email: fma5@rambler.ru
俄罗斯联邦, Nizhny Novgorod, 603022

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