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Solving a class of linear optimal control problems with several control variables by the method of orienting curves. (English) Zbl 0815.49015

Optimization 30, No. 3, 269-281 (1994).

Summary: We prove that the method of orienting curves described by H. X. Phu [Numer. Funct. Anal. Optimization 12, No. 1/2, 173-211 (1991; Zbl 0766.49016)] 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.

MSC:

49K05	Optimality conditions for free problems in one independent variable
65K10	Numerical optimization and variational techniques

Keywords:

bottleneck point; method of orienting curves; optimal control problems; boundary arcs; final curve

Citations:

Zbl 0766.49016

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