Attractor property for terminal manifold in control synthesis problem

[摘要] General statement of control synthesis problem is considered. The problem is to find control as a function depending on the state space vector. After substituting to the system of ordinary differential equations, the function should provide the property of attractor to a terminal manifold. Symbolic regression methods for numerical solution of the problem are proposed.A numerical criterion of the attractor is set. Several examples of problem solution by the network operator method are presented.

[发布机构] Federal Research Centre, Computer Science and Control, Russian Academy of Sciences, Vavilova str. 44/2, Moscow; 119333, Russia^1;Peoples' Friendship University of Russia, Miklukho-Maklaya str. 6, Moscow; 117198, Russia^2

[关键词] Attractor properties;Control synthesis;Numerical criteria;Numerical solution;Problem solutions;State space vectors;Symbolic regression;System of ordinary differential equations