Asymptotically optimal feedback control for a system of linear oscillators

DOI10.1134/S106456241305013XzbMath1283.93132arXiv1611.09669MaRDI QIDQ393881

Aleksey Fedorov, Alexander Ovseevich

Publication date: 24 January 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09669

zbMATH Keywords

optimal feedback controllinear oscillatorbounded control

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

Feedback control for damping a system of linear oscillators ⋮ Damping of a system of linear oscillators using the generalized dry friction ⋮ Asymptotically optimal control for a simplest distributed system ⋮ Perturbation theory of observable linear systems ⋮ Time-optimal movement of platform with oscillators ⋮ Diagrams of optimal control functions in the problem of the fastest platform movement with two oscillators ⋮ Asymptotic control theory for a closed string ⋮ Motion of a system of oscillators under the generalized dry friction control ⋮ Extremum conditions for constrained scalar control of two nonsynchronous oscillators in the time-optimal control problem ⋮ A local feedback control bringing a linear system to equilibrium

Cites Work

• Asymptotics of reachable sets of linear dynamical systems with impulsive control
• Bounded feedback controls for linear dynamic systems by using common Lyapunov functions
• Complete controllability of linear dynamic systems
• On the construction of a bounded control in oscillatory systems
• Singularities of attainable sets
• Unnamed Item

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