Linear TDSs

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Abstract

In this chapter, we discuss linear TDSs: fundamental matrices and solutions of non-homogeneous equations, characteristic equations, and location of eigenvalues for RDEs and NDEs, as well as effects of delays on stability. A simple frequency domain method for stability of linear time-invariant (LTI) systems with a single delay is presented. The chapter discusses also controllability and observability of LTI TDSs.

Original languageEnglish
Title of host publicationSystems and Control
Subtitle of host publicationFoundations and Applications
PublisherBirkhauser
Pages23-49
Number of pages27
Edition9783319093925
DOIs
StatePublished - 2014

Publication series

NameSystems and Control: Foundations and Applications
Number9783319093925
Volume0
ISSN (Print)2324-9749
ISSN (Electronic)2324-9757

Keywords

  • Adjoint system
  • Characteristic root
  • Constant delay
  • Fundamental matrix
  • Imaginary axis

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