OPTIMAL AND STACKELBERG CONTROLS OF LINEAR DISCRETE PROCESSES INFLUENCED BY ECHOES

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2014

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Valines SRL

Abstract

We develop mathematical models of Stackelberg control for linear discrete-time processes influenced by echoes as the development of Stackelberg control models and principles|particular models and principles of the more general mathematical models of Pareto-Nash-Stackelberg control introduced by V. Ungureanu in [10]. Application of a straightforward method to solve investigated problems along with the Pontryagin's principle produces important theoretical and practical results. Software benchmarks confirm and illustrate value of the results.

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linear discrete control problem, echo, Stackelberg control, Stackelberg equilibrium

Citation

UNGUREANU, V., DEVEATÎI, D. Optimal and stackelberg controls of linear discrete processes influenced by echoes. In: The Third Conference of Mathematical Society of the Republic of Moldova: dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, 19-23 aug. 2014, Chisinau, Moldova: Proceedings IMCS-50.Ch., 2014, pp.422-425. ISBN 978-9975-68-244-2

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