NEW APPROACH FOR DERIVATION OF CLOSED-LOOP STACKELBERG STRATEGIES.

M Tamer Basar, H. Selbuz

Research output: Contribution to journalArticlepeer-review

Abstract

A new approach is developed to obtaining the closed-loop Stackelberg (CLS) solution of an important class of two-person nonzero-sum dynamic games characterized by linear state dynamics and quadratic cost functionals. The new technique makes use of an important property of nonunique representations of a closed-loop strategy, and it relates the CLS solution to a particular representation of the optimal solution of a team problem. This specific problem treated in this paper is a 3-stage scalar LQ dynamic game, and within this context it is shown that the CLS strategies for the leader are linear and of the one-step memory type, while those of the follower can be realized in linear feedback form. Extensions of this solution to the general LQ dynamic two-person game are also discussed.

Original languageEnglish (US)
Pages (from-to)1113-1118
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Jan 1 1978
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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