Asymptotically optimal feedback control for a system of linear oscillators

Abstract

Problem of damping of an arbitrary number of linear oscillators under common bounded control is considered. We are looking for a feedback control steering the system to the equilibrium. The obtained control is asymptotically optimal: the ratio of motion time to zero with this control to the minimum one is close to 1, if the initial energy of the system is large. Some of the results based on the new lemma about sustainable observability autonomous linear systems.

7 pages; starting-point paper on the asymptotic control theory for a system of linear oscillators; this paper is closely related to arXiv:1308.6090, arXiv:1404.6901, arXiv:1505.00773, arXiv:1508.07775, and arXiv:1509.06056

References in corpus (1)

• Controllability function as time of motion. I

Cited by in corpus (6)

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• Asymptotic control theory for a closed string
• Damping of a system of linear oscillators using the generalized dry friction
• Perturbation theory of observable linear systems