Analytic construction of control systems by the method of supporting integral curves
A new variant of analytic construction of control systems has been developed on the basis of the method of supporting integral curves for solving the Cauchy problem for ordinary differential equations. Unlike traditional algorithms, the presented variant synthesizes controls to the required accuracy with minimal machine time. Rigorous rules have been designed for choosing the algorithm parameters to attain the required accuracy of the synthesized control actions. The method can be implemented on computers and is compatible with the computation techniques. Using this method it is possible to represent the equation of free motion with the help of an array of numbers which can be stored in the computer memory.
scientific article; zbMATH DE number 880949