Asymptotic control and stabilization of nonlinear oscillators with non isolated equilibria, a note: from \(L^1\) to non \(L^1\)

DOI10.1016/j.jde.2005.06.026zbMath1089.34050OpenAlexW2035505050MaRDI QIDQ2575074

Marc-Olivier Czarnecki

Publication date: 5 December 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.06.026

zbMATH Keywords

stabilizationnonlinear oscillatorcontrol function

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Stability of control systems (93D99)

Related Items (1)

Asymptotic behavior of coupled dynamical systems with multiscale aspects

Cites Work

• Inertial gradient-like dynamical system controlled by a stabilizing term
• Un exemple concernant le comportement asymptotique de la solution du problème \(du/dt+\partial\varphi(\mu)\ni=0\)
• Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
• On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
• THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
• Asymptotic Control of Pairs of Oscillators Coupled by a Repulsion, with Nonisolated Equilibria II: The Singular Case
• Asymptotic Control of Pairs of Oscillators Coupled by a Repulsion, with Nonisolated Equilibria I: The Regular Case

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