Vibrational Control of Nonlinear Systems: Vibrational Stabilizability

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

Research output: Contribution to journalArticlepeer-review


In this work, the theory of vibrational control for nonlinear systems is developed. The present paper gives criteria for stabilizability of nonlinear systems by linear multiplicative vibrations, by almost periodic forcing and by vector additive vibrations. Illustrative examples are also considered. In a subsequent paper, the problem of vibrational controllability and transient behavior will be addressed.

Original languageEnglish (US)
Pages (from-to)710-716
Number of pages7
JournalIEEE Transactions on Automatic Control
Issue number8
StatePublished - Aug 1986

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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