Multilevel Stackelberg strategies in linear-quadratic systems |
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Authors: | J Medanic D Radojevic |
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Institution: | (1) Coordinated Science Laboratory, University of Illinois, Urbana, Illinois;(2) Mihailo Pupin Institute, Belgrade, Yugoslavia |
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Abstract: | Open-loop multilevel Stackelberg strategies in deterministic, sequential decision-making problems for continuous linear systems and quadratic criteria are developed. Characterization of the Stackelberg controls via the solution of a higher-order square-matrix-Riccati differential equation is established; also, the basic structural properties of the coefficient matrices of this differential equation are established, and the basic structural properties of its solution are inferred.This work was supported in part by the Energy Research and Development Administration, Contract No. ERDA E(49-18)-2088.on leave from the Mihailo Pupin Institute, Belgrade, Yugoslavia. |
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Keywords: | Sequential decision-making problems Stackelberg strategies matrix-Riccati differential equation |
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