Simple LMIs for stabilization by using delays

Emilia Fridman, Leonid Shaikhet

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

It is well-known that the second-order systems that cannot be stabilized by a static output feedback without a damping term, may be stabilized by inserting an artificial time-delay in the feedback. The existing Lyapunov-based methods that may treat this case and that lead to stability conditions in terms of Linear Matrix Inequalities (LMIs) suffer from high-dimensionality of the resulting LMIs. In this paper we suggest simple Lyapunov functionals that lead to reduced-order LMIs with a small number of decision variables.

Original languageEnglish
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3240-3245
Number of pages6
ISBN (Electronic)9781509018376
DOIs
StatePublished - 27 Dec 2016
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: 12 Dec 201614 Dec 2016

Publication series

Name2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference55th IEEE Conference on Decision and Control, CDC 2016
Country/TerritoryUnited States
CityLas Vegas
Period12/12/1614/12/16

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Decision Sciences (miscellaneous)
  • Control and Optimization

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