On the Isaacs equation of differential games for descriptor systems

DOI10.1007/BF02190065zbMath0834.90148OpenAlexW1989080542WikidataQ115392724 ScholiaQ115392724MaRDI QIDQ1338562

Koichi Mizukami, Hua Xu

Publication date: 1 April 1996

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02190065

zbMATH Keywords

descriptor systemslinear-quadratic differential gameIsaacs equationgeneralized game Riccati differential equationunique saddle-point value

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) (H^infty)-control (93B36)

Related Items (8)

Infinite-horizon differential games of singularly perturbed systems: A unified approach ⋮ On a descriptor pursuit game ⋮ The (multi-player) linear quadratic state feedback control problem for index one descriptor systems ⋮ Feedback Nash equilibria for linear quadratic descriptor differential games ⋮ Asymptotic analysis and solution of a finite-horizon \(H_{\infty}\) control problem for singularly-perturbed linear systems with small state delay ⋮ A descriptor system approach to nonlinear singularly perturbed optimal control problem. ⋮ THE LINEAR QUADRATIC DYNAMIC GAME FOR DISCRETE-TIME DESCRIPTOR SYSTEMS ⋮ The open-loop discounted linear quadratic differential game for regular higher order index descriptor systems

Cites Work

• Singular control systems
• Hamilton-Jacobi equation for descriptor systems
• \(H^ \infty\)-optimal control for singularly perturbed systems. I: Perfect state measurements
• The linear-quadratic optimal regulator for descriptor systems
• Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems
• Linear-quadratic zero-sum differential games for generalized state space systems

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