Abstract
Pontryagin formalized optimal control problems as canonical systems, which are concepts from analytic mechanics. Recently, a canonical quantization method for optimal control problems was proposed. In this paper, we derive a sufficient condition that particular solutions to the canonical quantized optimal regulator problems converge to strict solutions to the original optimal control problems with infinite-time horizons. Further, we discuss possibility that the canonical quantization method yields useful approximate methods for nonlinear optimal regulator problems.
