Linear Discrete - Time Set - Valued Pareto - Nash - Stackelberg Control Processes and Their Principles

نویسندگان

  • Valeriu Ungureanu
  • Victoria Lozan
چکیده

Abstract Mathematical models of linear discrete-time set-valued Pareto-Nash-Stackelberg control processes are examined as extension of mono-valued Pareto-Nash-Stackelberg control models proposed by V. Ungureanu in [10]. A straightforward principle is applied to solve Pareto-Nash-Stackelberg control problems. Models and results are presented in natural order by beginning with the simplest case and, by sequential considering of more general cases, the results for the highlighted Pareto-Nash-Stackelberg set-valued control are presented. The maximum principle of Pontryagin is extended for considered control processes, too.

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تاریخ انتشار 2013