Reference
I. Necoara,
E. C. Kerrigan, B. De
Schutter, and
T. J. J. van den
Boom, "Finite-horizon min-max control of max-plus-linear systems,"
IEEE Transactions on Automatic Control, vol. 52, no. 6, pp.
1088-1093, June 2007.
Abstract
We provide a solution to a class of finite-horizon min-max control problems for
uncertain max-plus-linear systems where the uncertain parameters are assumed to
lie in a given convex and compact set, and it is required that the closed-loop
input and state sequence satisfy a given set of linear inequality constraints
for all admissible uncertainty realizations. We provide sufficient conditions
such that the value function is guaranteed to be convex and continuous
piecewise affine, and such that the optimal control policy is guaranteed to be
continuous and piecewise affine on a polyhedral domain.
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BibTeX
@article{NecKer:06-002,
author = {Necoara, Ion and Kerrigan, Eric C. and De Schutter, Bart and van
den Boom, Ton J. J.},
title = {Finite-Horizon Min-Max Control of Max-Plus-Linear Systems},
journal = {IEEE Transactions on Automatic Control},
volume = {52},
number = {6},
pages = {1088--1093},
month = jun,
year = {2007}
}