Oscillations-induced transitions and their application in control of dynamical systems

Research output: Contribution to conferencePaper

Abstract

Studies of the use of oscillations for control purposes continue to reveal new practically important properties unique to the oscillatory open and closed loop control laws. The goal of this paper is to enlarge the available set of analytical tools for such studies by introducing a method of analysis of the qualitative changes in the behavior of dynamical systems caused by the zero mean parametric excitations. After summarizing and slightly refining a technique developed previously for the finite dimensional nonlinear systems, we consider an extension of this technique to a class of distributed parameter systems (DPS) governed by semilinear parabolic equations. The technique presented is illustrated by several examples.

Original languageEnglish (US)
Pages23-31
Number of pages9
StatePublished - Dec 1 1988
EventRecent Advances in Control of Nonlinear and Distributed Parameter Systems, Robust Control and Aerospace Control Applications - Chicago, IL, USA
Duration: Nov 27 1988Dec 2 1988

Other

OtherRecent Advances in Control of Nonlinear and Distributed Parameter Systems, Robust Control and Aerospace Control Applications
CityChicago, IL, USA
Period11/27/8812/2/88

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ASJC Scopus subject areas

  • Software
  • Mechanical Engineering

Cite this

Bentsman, J. (1988). Oscillations-induced transitions and their application in control of dynamical systems. 23-31. Paper presented at Recent Advances in Control of Nonlinear and Distributed Parameter Systems, Robust Control and Aerospace Control Applications, Chicago, IL, USA, .