Kronecker products and coupled matrix Riccati differential systems

DOI10.1016/0024-3795(89)90690-3zbMath0678.34015OpenAlexW1996939050MaRDI QIDQ1124020

Hisham Abou-Kandil, Lucas Jodar

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90690-3

zbMATH Keywords

iterative algorithmsuccessive approximation methodapproximate solutionserror boundKronecker productsRiccati differential system

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Quadratic and bilinear forms, inner products (15A63)

Related Items (7)

RETRACTED: The general (vector) solutions of such linear (coupled) matrix fractional differential equations by using Kronecker structures ⋮ Necessary and sufficient conditions for feedback Nash equilibria for the affine-quadratic differential game ⋮ On the Kronecker products and their applications ⋮ Complexity reduction of least squares problems involving special Vandermonde matrices ⋮ Method of Kronecker product to advanced type Riccati differential systems with strongly coupled quadratic terms ⋮ Periodic matrix difference equations and companion matrices in blocks: some applications ⋮ Asymptotic analysis of linear feedback Nash equilibria in nonzero-sum linear-quadratic differential games

Cites Work

• Unnamed Item
• A series solution to the Nash strategy for large scale interconnected systems
• Nonzero-sum differential games
• Series Nash solution of two-person, nonzero-sum, linear-quadratic differential games
• Differential equation s in abstract spaces
• Analytic solution for a class of linear quadratic open-loop Nash games
• Explicit solutions for a system of coupled Lyapunov differential matrix equations
• On direct product matrices

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