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On the equivalency of piecewise-constant control with a known number of switchings and arbitrary amplitude bounded control in a terminal problem for a linear nonstationary system

Research paper by E. A. Shushlyapin

Indexed on: 01 Mar '93Published on: 01 Mar '93Published in: Journal of Mathematical Sciences



Abstract

It is shown that any amplitude-bounded control of a linear terminal nonstationary system with two control coordinates can be replaced by a piecewise-constant (relaying) control with a known number of switchings, and moreover, the procedure of determining the moments of switching is reduced to a known finite number of problems of nonlinear programming in a space of two variables, which are given in the paper.