GENERAL SOLUTION OF TERMINAL CONTROL PROBLEM OF A LINEAR DISCRETE SYSTEM
The paper analyzes the mathematical problem consisting of constructing a general solution to the problem of terminal control of a discrete system. We gibe the general solution and the general pseudosolution for the linear system. A solution to the problem of constructing the reachability set from the origin of the coordinates with restrictions on the norm of the control function is obtained.
Kirichenko N. F., Matvienko V. T. Optimal synthesis of structures for linear control systems. Journal of Automation and Information Sciences. 1998. 30 (1). P. 18–28.
Kirichenko N. F., Lepeckha N. P. Pseudoinversion in problems of control and observation. Avtomatika. 1993. No 5. P. 69–81.
Pichkur V. V., Sobchuk V. V. Mathematical Model and Control Design of a Functionally Stable Technological Process. Journal of Optimization, Differential Equati ons and Their Applications. 2021. 29 (1). P. 32–41.
Albert A., Regression and the Moore-Penrose pseudoinverse. Burlington: Elsevier. MA, 1972. 194 p.
Gantmacher F. R. The Theory of Matrices. Vol. 1. New York: Chelsea Publishing, 1959. 276 p.