VIBRATIONAL CONTROL OF NONLINEAR SYSTEMS.

Richard Bellman; Joseph Bentsman; Semyon M. Meerkov

doi:10.1109/cdc.1984.272277

VIBRATIONAL CONTROL OF NONLINEAR SYSTEMS.

Richard Bellman, Joseph Bentsman, Semyon M. Meerkov

Research output: Contribution to journal › Conference article

Abstract

An attempt is made to establish the basis of vibrational control theory for nonlinear systems. The notions of vibrational stabilizability and vibrational controllability of nonlinear finite-dimensional systems are introduced and analyzed. Calculation formulas are derived. Transient behavior of vibrationally controlled nonlinear systems is studied. Several examples, including forced Duffing, Rayleigh, and Van der Pol equations, are discussed.

Original language	English (US)
Pages (from-to)	84-89
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/cdc.1984.272277
State	Published - 1984
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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Bellman, R., Bentsman, J., & Meerkov, S. M. (1984). VIBRATIONAL CONTROL OF NONLINEAR SYSTEMS. Proceedings of the IEEE Conference on Decision and Control, 84-89. https://doi.org/10.1109/cdc.1984.272277

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abstract = "An attempt is made to establish the basis of vibrational control theory for nonlinear systems. The notions of vibrational stabilizability and vibrational controllability of nonlinear finite-dimensional systems are introduced and analyzed. Calculation formulas are derived. Transient behavior of vibrationally controlled nonlinear systems is studied. Several examples, including forced Duffing, Rayleigh, and Van der Pol equations, are discussed.",

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