On Average Control Generating Families for Singularly Perturbed Optimal Control Problems with Long Run Average Optimality Criteria

Author:

Gaitsgory Vladimir,Manic Ludmila,Rossomakhine Sergey

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Reference78 articles.

1. Alvarez, O., Bardi, M.: Viscosity solutions methods for singular perturbations in deterministic and stochastic control. SIAM J. Control. Optim. 40(4), 1159–1188 (2001)

2. Alvarez, O., Bardi, M.: Singular perturbations of nonlinear degenerate parabolic PDEs: a General Convergence result. Arch. Ration. Mech. Anal. 170, 17–61 (2003)

3. Ash, R.B.: Real analysis and probability. Academic Press, New York (1972)

4. Anderson, E.J., Nash, P.: Linear programming in infinite-dimensional spaces. Wiley, Chichester (1987)

5. Arapostathis, A., Borkar, V.S., Ghosh, M.K: Ergodic control of diffusion processes. Cambridge University Press, Cambridge (2012)

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1. A variational problem determined by probability measures;Optimization;2018-07-25

2. On Numerical Solution of Singularly Perturbed Optimal Control Problems;Journal of Optimization Theory and Applications;2017-07-14

3. On Near Optimal Control of Systems with Slow Observables;SIAM Journal on Control and Optimization;2017-01

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