Geometric existence theory for the control-affine nonlinear optimal regulator

DOI10.1016/J.JMAA.2004.12.017zbMath1141.49320OpenAlexW1978373919MaRDI QIDQ1771407

Xianqiang Yang

Publication date: 21 April 2005

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.2004.12.017

zbMATH Keywords

Hamilton-Jacobi-Bellman equationLagrangian manifoldViscosity solutionNonlinear optimal regulator

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (2)

Geometric existence theory for the control-affine \(H_{\infty }\) problem ⋮ An off-line NMPC strategy for continuous-time nonlinear systems using an extended modal series method

Cites Work

• On a state space approach to nonlinear \(H_ \infty\) control
• Robust feedback control of a single server queueing system
• Viscosity Solutions of Hamilton-Jacobi Equations
• Some Characterizations of Optimal Trajectories in Control Theory
• L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
• Parametrized Families of Extremals and Singularities in Solutions to the Hamilton--Jacobi--Bellman Equation
• On the optimal stabilization of nonlinear systems
• Optimal Regulation of Nonlinear Dynamical Systems
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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