Application of Volterra-Wiener series in optimal control theory
This article describes a new method for modeling the process of dissolution of trains in marshalling yards. A feature of this control system is the sampling control function - the impact on the system takes place 2 or 3 times during the entire period of the carriage movement. And it must ensure that impact positioning "runner" in a strictly specified position. The method is based on the theory of series of Voltaire-Wiener, allowing to present some complex functional relationship in the form of finite series, limited 2-3 members. Minimizing functional thus obtained will provide optimal control function.