Solving a class of linear optimal control problems with several control variables by the method of orienting curves

Abstract

In this paper, we prove that the Method of Orienting Curves described in [14] can be applied to solve a class of linear optimal control problems with one state and several control variables, and with state constraints. By this method, optimal trajectories of problems in this class can be constructed as a path which consists of parts of orienting curves, boundary arcs, and a final curve.

Keywords:

• Optimal Control
• Orienting Curve
• Final Curve
• Bottleneck Point
• Method of Orienting Curves

^*Parts of this research were realized under the support of the National Basic Research programme, Vietnam

^*Parts of this research were realized under the support of the National Basic Research programme, Vietnam

Notes

^*Parts of this research were realized under the support of the National Basic Research programme, Vietnam