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We investigate pathwise turnpike behavior of discrete-time stochasticlinear-quadratic optimal control problems. Our analysis is based on a novelstrict dissipativity notion for such problems, in which a stationary stochasticprocess replaces the optimal steady state of the deterministic setting. Theanalytical findings are illustrated by a numerical example.

Pathwise turnpike and dissipativity results for discrete-time stochastic linear-quadratic optimal control problems