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A singular perturbation approach to modeling and control of Markov chains

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2 Author(s)
R. Phillips ; Bell Laboratories, Holmdel, NJ, USA ; P. Kokotovic

Finite state continuous time Markov processes with weak interactions are modeled as singularly perturbed systems. Aggregate states are obtained using a grouping algorithm. Two-time scale expansions simplify cost equations and lead to decentralized optimization algorithms.

Published in:

IEEE Transactions on Automatic Control  (Volume:26 ,  Issue: 5 )