Asymptotic Control of Pairs of Oscillators Coupled by a Repulsion, with Nonisolated Equilibria I: The Regular Case

DOI10.1137/S0363012901385198zbMath1031.34057OpenAlexW4233121385MaRDI QIDQ4785681

Marc-Olivier Czarnecki, Alexandre Cabot

Publication date: 5 January 2003

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012901385198

zbMATH Keywords

global optimizationcoupled systemnonlinear oscillatorslow controlheavy ball with friction

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Dynamics of a system of particles, including celestial mechanics (70F99) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05) Dynamical systems in optimization and economics (37N40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Optimality conditions for problems involving ordinary differential equations (49K15) General theory of random and stochastic dynamical systems (37H05)

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