Geometric existence theory for the control-affine \(H_{\infty }\) problem

DOI10.1016/J.JMAA.2005.12.034zbMath1124.93021OpenAlexW1969186802MaRDI QIDQ855672

N. E. Zubov

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.034

zbMATH Keywords

Hamilton-Jacobi-Bellman equationLagrangian manifold\(H_{\infty }\) controlgraph selectorLjusternik-Schnirelmann minimax construction

Mathematics Subject Classification ID

Feedback control (93B52) Differential games (aspects of game theory) (91A23) (H^infty)-control (93B36)

Related Items (2)

Finite-time disturbance attenuation of nonlinear systems ⋮ Graph selectors and viscosity solutions on Lagrangian manifolds

Cites Work

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• Symplectic topology as the geometry of generating functions
• On a state space approach to nonlinear \(H_ \infty\) control
• Critical point theory and Hamiltonian systems
• Geometric existence theory for the control-affine nonlinear optimal regulator
• Robust feedback control of a single server queueing system
• L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
• $\mathcal{H}_\infty $ Control of Nonlinear Systems: Differential Games and Viscosity Solutions
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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