T. Basar, H. Selbuz

Research output: Contribution to journalConference articlepeer-review


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 - 1978
Externally publishedYes
EventProc IEEE Conf Decis Control Incl Symp Adapt Processes 17th - San Diego, CA, USA
Duration: Jan 10 1979Jan 12 1979

ASJC Scopus subject areas

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


Dive into the research topics of 'NEW APPROACH FOR DERIVATION OF CLOSED-LOOP STACKELBERG STRATEGIES.'. Together they form a unique fingerprint.

Cite this