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Accession Number:
ADA455010
Title:
Ergodic Control of Switching Diffusions
Descriptive Note:
Research rept.
Corporate Author:
MARYLAND UNIV COLLEGE PARK INST FOR SYSTEMS RESEARCH
Report Date:
1996-01-30
Pagination or Media Count:
42.0
Abstract:
We study the ergodic control problem of switching diffusions representing a typical hybrid system that arises in numerous applications such as fault tolerant control systems, flexible manufacturing systems, etc. Under fairly general conditions, we establish the existence of a stable, nonrandomized Markov policy which almost surely minimizes the pathwise long-run average cost. We then study the corresponding Hamilton-Jacobi-Bellman HJB equation and establish the existence of a unique solution in a certain class. Using this, we characterize the optimal policy as a minimizing selector of the Hamiltonian associated with the HJB equations. As an example we apply the results to a failure prone manufacturing system and obtain closed form solutions for the optimal policy.
Distribution Statement:
APPROVED FOR PUBLIC RELEASE