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IMI/Publicaţii/CSJM/Ediţii/CSJM v.21, n.1 (61), 2013/

Linear discrete-time Pareto-Nash-Stackelberg control problem and principles for its solving

Authors: Valeriu Ungureanu
Keywords: Linear discrete-time control problem, non-cooperative game, multi-criteria strategic game, Pareto-Nash-Stackelberg control.

Abstract

A direct-straightforward method for solving linear discrete-time optimal control problem is applied to solve control problem of a linear discrete-time system as a mixture of multi-criteria Stackelberg and Nash games. For simplicity, the exposure starts with the simplest case of linear discrete-time optimal control problem and, by sequential considering of more general cases, investigation finalizes with the highlighted Pareto-Nash-Stackelberg and set valued control problems. Different principles of solving are compared and their equivalence is proved.

State University of Moldova,
60, A. Mateevici str.,
Chişinău, MD-2009, Moldova.
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