VIBRATIONAL CONTROL OF NONLINEAR SYSTEMS.

Richard Bellman, Joseph Bentsman, Semyon M. Meerkov

Research output: Contribution to journalConference 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 languageEnglish (US)
Pages (from-to)84-89
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
StatePublished - 1984
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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