Vibrational Stabilization of Nonlinear Parabolic Systems with Neumann Boundary Conditions

Joseph Bentsman, Keum S. Hong

Research output: Contribution to journalArticlepeer-review

Abstract

This note derives the conditions for the existence of the stabilizing vibrations for a class of distributed parameter systems governed by parabolic partial differential equations with Neumann boundary conditions and gives the guidelines for the choice of the vibration parameters that ensure stabilization. Examples of vibrational stabilization of unstable systems by linear multiplicative and vector additive vibrations are given to support the theory.

Original languageEnglish (US)
Pages (from-to)501-507
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume36
Issue number4
DOIs
StatePublished - Apr 1991

ASJC Scopus subject areas

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

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