We study ergodic quadratic optimal stochastic control problems for an affine state equation with state and control dependent noise and with stochastic coefficients. We assume stationarity of the coefficients and a finite cost condition. We first treat the stationary case and we show that the optimal cost corresponding to this ergodic control problem coincides with the one corresponding to a suitable stationary control problem and we provide a full characterization of the ergodic optimal cost and control.

Ergodic optimal quadratic control for an affine equation with stochastic and stationary coefficients

GUATTERI, GIUSEPPINA;
2009-01-01

Abstract

We study ergodic quadratic optimal stochastic control problems for an affine state equation with state and control dependent noise and with stochastic coefficients. We assume stationarity of the coefficients and a finite cost condition. We first treat the stationary case and we show that the optimal cost corresponding to this ergodic control problem coincides with the one corresponding to a suitable stationary control problem and we provide a full characterization of the ergodic optimal cost and control.
Linear and affine quadratic optimal stochastic control; Random and stationary coefficients; Ergodic control; Backward Stochastic Riccati Equation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/514150
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