Characterization of some gain conditions via the Hamilton-Jacobi inequality

DOI10.1016/0167-6911(96)00036-9zbMath0875.93188OpenAlexW1982250356MaRDI QIDQ1350954

Tsuneo Yoshikawa, Jun-Ichi Imura

Publication date: 27 February 1997

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(96)00036-9

zbMATH Keywords

Hamilton-Jacobi inequalityNonlinear systems\(L_{2}\) gain\(L_{2\infty}\) gainHankel gain

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10)

Cites Work

• Unnamed Item
• Unnamed Item
• Balancing for nonlinear systems
• On a state space approach to nonlinear \(H_ \infty\) control
• Nonlinear \(H^ \infty\) control theory for stable plants
• Reduction of the stellar three-body problem
• The generalized \(H_ 2\) control problem
• A Hamilton-Jacobi inequality approach to the strict \(H_ \infty\) control problem of nonlinear systems
• Dissipative dynamical systems. I: General theory
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Convolution and Hankel operator norms for linear systems
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• Mixed H/sub 2//H/sub infinity / control: a convex optimization approach
• L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
• The stability of nonlinear dissipative systems
• H/sup infinity / control for nonlinear systems with output feedback

This page was built for publication: Characterization of some gain conditions via the Hamilton-Jacobi inequality