Criterion for Lagrange stability of a class of pendulum-like systems in Hilbert spaces

DOI10.1016/J.JMAA.2006.08.090zbMath1113.93082OpenAlexW2010722242MaRDI QIDQ879144

De-Xing Feng, Lin Huang, Chao Liu

Publication date: 4 May 2007

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.2006.08.090

zbMATH Keywords

multiple equilibriaLagrange stabilityinfinite dimensionsRiesz-spectral operatorpendulum-like systems

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

Low frequency Lagrange stabilization for pendulum‐like systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Absolute stability of nonlinear systems of automatic control
• \(H_ \infty\)-control for distributed parameter systems: A state-space approach
• Design of controller for a class of pendulum-like system guaranteeing dichotomy
• Control of a class of pendulum-like systems with Lagrange stability
• Absolute-stability results in infinite dimensions
• On Frequency Domain Stability for Evolution Equations in Hilbert Spaces via the Algebraic Riccati Equation
• Frequency Domain Stability for a Class of Equations Arising in Reactor Dynamics
• Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications

This page was built for publication: Criterion for Lagrange stability of a class of pendulum-like systems in Hilbert spaces