On vibrational stabilizability of nonlinear systems

DOI10.1007/BF00939147zbMath0548.93063OpenAlexW3037027355MaRDI QIDQ800300

Semyon M. Meerkov, Joseph Bentsman, Richard Bellman

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00939147

zbMATH Keywords

Duffing equationperiodic forcingVan der Pol equationRayleigh equationvibrational stabilizabilityoptimal shape of vibrations

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Nonlinear ordinary differential equations and systems (34A34) Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (5)

Vibrational control without averaging ⋮ Vibrational stabilization and the Brockett problem ⋮ On robustness analysis of linear vibrational control systems ⋮ Stabilization of Ziegler's pendulum by means of the method of vibrational control ⋮ Differential-geometric-control formulation of flapping flight multi-body dynamics

Cites Work

• Vibrational control of systems with Arrhenius dynamics
• The calculus of variations and optimal control. An introduction
• Principle of vibrational control: Theory and applications
• Condition of vibrational stabilizability for a class of nonlinear systems

This page was built for publication: On vibrational stabilizability of nonlinear systems