6533b853fe1ef96bd12ac0f2

RESEARCH PRODUCT

Explicit solutions of Riccati equations appearing in differential games

Lucas Jódar

subject

Computer Science::Computer Science and Game TheoryApplied MathematicsMathematical analysisMathematicsofComputing_NUMERICALANALYSISLinear-quadratic regulatorAlgebraic Riccati equationMatrix (mathematics)ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONRiccati equationApplied mathematicsClosed-form expressionGame theoryDifferential (mathematics)Mathematics

description

Abstract In this paper an explicit closed form solution of Riccati differential matrix equations appearing in games theory is given.

https://doi.org/10.1016/0893-9659(90)90036-b