Vibrational Control of Nonlinear Systems: Vibrational Controllability and Transient Behavior

Richard E. Bellman; Joseph Bentsman; Semyon M. Meerkov

doi:10.1109/TAC.1986.1104383

Vibrational Control of Nonlinear Systems: Vibrational Controllability and Transient Behavior

Richard E. Bellman, Joseph Bentsman, Semyon M. Meerkov

Research output: Contribution to journal › Article › peer-review

Abstract

In the first part of this work [1] the criteria for the existence of stabilizing parametric oscillations have been derived. In the present paper, the problem of choosing the stabilizing vibrations is addressed and the properties of transient behavior of vibrationally controlled nonlinear systems are analyzed.

Original language	English (US)
Pages (from-to)	717-724
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	31
Issue number	8
DOIs	https://doi.org/10.1109/TAC.1986.1104383
State	Published - Aug 1986

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.1986.1104383

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title = "Vibrational Control of Nonlinear Systems: Vibrational Controllability and Transient Behavior",

abstract = "In the first part of this work [1] the criteria for the existence of stabilizing parametric oscillations have been derived. In the present paper, the problem of choosing the stabilizing vibrations is addressed and the properties of transient behavior of vibrationally controlled nonlinear systems are analyzed.",

author = "Bellman, {Richard E.} and Joseph Bentsman and Meerkov, {Semyon M.}",

year = "1986",

month = aug,

doi = "10.1109/TAC.1986.1104383",

language = "English (US)",

volume = "31",

pages = "717--724",

journal = "IRE Transactions on Automatic Control",

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T2 - Vibrational Controllability and Transient Behavior

AU - Bellman, Richard E.

AU - Bentsman, Joseph

AU - Meerkov, Semyon M.

PY - 1986/8

Y1 - 1986/8

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AB - In the first part of this work [1] the criteria for the existence of stabilizing parametric oscillations have been derived. In the present paper, the problem of choosing the stabilizing vibrations is addressed and the properties of transient behavior of vibrationally controlled nonlinear systems are analyzed.

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JO - IRE Transactions on Automatic Control

JF - IRE Transactions on Automatic Control

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Vibrational Control of Nonlinear Systems: Vibrational Controllability and Transient Behavior

Abstract

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