Vibrational stabilization and transient behavior analysis of nonlinear parabolic systems with Neumann boundary conditions

Joseph Bentsman, Keum S. Hong

Research output: Contribution to journalConference articlepeer-review

Abstract

Conditions for the existence of stabilizing vibrations are derived for a class of distributed-parameter systems governed by parabolic partial differential equations with Neumann boundary conditions. Guidelines for the choice of the vibration parameters that ensure stabilization are given. The transient behavior of vibrationally controlled systems is also studied. 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)1438-1443
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume2
StatePublished - Dec 1 1989
EventProceedings of the 28th IEEE Conference on Decision and Control. Part 2 (of 3) - Tampa, FL, USA
Duration: Dec 13 1989Dec 15 1989

ASJC Scopus subject areas

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

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