Explicit solutions of Riccati equations appearing in differential games

DOI10.1016/0893-9659(91)90112-9zbMath0733.34001OpenAlexW4230030514MaRDI QIDQ5896606

Lucas Jodar

Publication date: 1991

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(91)90112-9

zbMATH Keywords

explicit solutionmatrix Riccati equationsopen-loop Nash strategiesAlgebraic conditionstwo player non-zero sum linear-quadratic differential game

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• Nonzero-sum differential games
• Series Nash solution of two-person, nonzero-sum, linear-quadratic differential games
• Analytic solution for a class of linear quadratic open-loop Nash games
• A Resolution Method for Riccati Differential Systems Coupled in Their Quadratic Terms
• Computing integrals involving the matrix exponential
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