On the solution of the open-loop Nash Riccati equations in linear quadratic differential games

DOI10.1080/00207177308932486zbMath0263.90044OpenAlexW2042039504MaRDI QIDQ5679951

Cruz, J. B. jun., Marwan A. Simaan

Publication date: 1973

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207177308932486

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23)

Related Items (10)

Analytic solution for a class of linear quadratic open-loop Nash games ⋮ An algorithm for solving coupled differential matrix systems: Approximations, convergence and upper error bounds ⋮ On the open-loop Nash equilibrium in LQ-games ⋮ Nonzero-sum differential games (The noncooperative variant) ⋮ Algorithms for computing Nash equilibria in deterministic LQ games ⋮ A numerical toolbox to solve \(N\)-player affine LQ open-loop differential games ⋮ Computational aspects of the open-loop Nash equilibrium in linear quadratic games ⋮ Analytical solution for a class of linear quadratic open-loop Nash game with multiple players ⋮ Necessary conditions for constant solutions of coupled Riccati equations in Nash games ⋮ Exact solution of a class of strongly coupled Riccati matrix differential equations

Cites Work

• Nonzero-sum differential games
• On a class of nonzero-sum, linear-quadratic differential games
• A simplified method for solving the matrix Riccati equation†

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