# E. F. Sachkova, Approximate solution of two-point boundary value problems for linear in control systems

Title: Approximate solution of two-point boundary value problems for linear in control systems
Authors: E. F. Sachkova
Journal title: Automation and Remote Control
Issue: 4
Volume: 70
Pages: 728–738
Citation:

E. F. Sachkova, “Approximate solution of two-point boundary value problems for linear in control systems”, Automation and Remote Control, 2009, 70:4, 728–738

Abstract:

The two-point boundary value problem for nonlinear systems, linear in unbounded control, is considered. For three-dimensional systems we present a local algorithm of approximate solution to the control problem. On the basis of this algorithm were constructed algorithms of approximate solution to the control problem on the 3" />$3$-dimensional integral manifold (orbit) of n" />$n$-dimensional systems with 2" />$2$-dimensional control. Demonstrating examples are presented.