Controlled diffusions with Constraints, II

Borkar, V. S. (1993) Controlled diffusions with Constraints, II Journal of Mathematical Analysis and Applications, 176 (2). pp. 310-321. ISSN 0022-247X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00222...

Related URL: http://dx.doi.org/10.1006/jmaa.1993.1216

Abstract

We consider the ergodic control for a controlled nondegenerate diffusion when m other (m finite) ergodic costs are required to satisfy prescribed bounds. Under a condition on the cost functions that penalizes instability; the existence of an optimal stable Markov control is established by convex analytic arguments.

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