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SIAMCO
2008
70views more  SIAMCO 2008»
13 years 4 months ago
Duality in Linear Programming Problems Related to Deterministic Long Run Average Problems of Optimal Control
It has been established recently that, under mild conditions, deterministic long run average problems of optimal control are "asymptotically equivalent" to infinite-dimen...
Luke Finlay, Vladimir Gaitsgory, Ivan Lebedev
CDC
2008
IEEE
13 years 11 months ago
The vanishing approach for the average continuous control of piecewise deterministic Markov processes
Abstract— This paper deals with the long run average continuous control problem of piecewise deterministic Markov processes (PDMP‘s) taking values in a general Borel space and ...
Oswaldo Luiz V. Costa, Francois Dufour
SIAMCO
2010
112views more  SIAMCO 2010»
12 years 11 months ago
Average Continuous Control of Piecewise Deterministic Markov Processes
In this paper we consider the long run average continuous control problem of piecewise-deterministic Markov processes (PDP's for short). The control variable acts on the jump ...
Oswaldo Luiz V. Costa, François Dufour
CDC
2008
IEEE
116views Control Systems» more  CDC 2008»
13 years 11 months ago
General duality between optimal control and estimation
— Optimal control and estimation are dual in the LQG setting, as Kalman discovered, however this duality has proven difficult to extend beyond LQG. Here we obtain a more natural...
Emanuel Todorov
MP
2007
76views more  MP 2007»
13 years 4 months ago
Universal duality in conic convex optimization
Given a primal-dual pair of linear programs, it is well known that if their optimal values are viewed as lying on the extended real line, then the duality gap is zero, unless both...
Simon P. Schurr, André L. Tits, Dianne P. O...