THE APPLICATION OF NASH GAME FOR DETERMINE OF CONTROLLING MULTIDIMENSIONAL OBJECTS Cover Image

THE APPLICATION OF NASH GAME FOR DETERMINE OF CONTROLLING MULTIDIMENSIONAL OBJECTS
THE APPLICATION OF NASH GAME FOR DETERMINE OF CONTROLLING MULTIDIMENSIONAL OBJECTS

Author(s): Tadeusz Kwater
Subject(s): Economy
Published by: Szkoła Główna Gospodarstwa Wiejskiego w Warszawie
Keywords: complex systems; dynamics equations; differential game; functionals of quality; Riccati equation; decentralized calculation of regulator gain

Summary/Abstract: The article presents the approach of decentralization of calculations related to the synthesis of controlling through division of an optimalization problem into lesser dimensionality subproblems. Applied was differential Nash game for objects of serial structure. The main idea of the method is to assign individual functionals of quality to subobjects and conduct the synthesis of regulators in a sequential way, beginning with the first subobject. Thanks to the sequential structure of the object it is possible to obtain a solution by decentralized optimizations.

  • Issue Year: XIV/2013
  • Issue No: 1
  • Page Range: 317-324
  • Page Count: 8
  • Language: English