Asymptotic behaviour of infinite chains of coupled kinematic points: Second-order equations

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The behaviour of infinite chains of coupled kinematic points is studied. The points are second order, that is, they have mass. The chains could have been designed in any number of ways, including linear-quadratic optimal control. Behaviour means what happens as time goes to infinity. It is not assumed that the initial state is in the Hilbert space l 2 because it has been seen in our previous work that in some situations this assumption has anomalous results. Instead, the initial state taken to be l ∞. The finite-dimensional version of the infinite second-order system we study arises in physics in the theory of phonons.

Original languageEnglish
Pages (from-to)463-480
Number of pages18
JournalMathematics of Control, Signals, and Systems
Volume26
Issue number3
DOIs
StatePublished - 1 Jan 2014

Keywords

  • Distributed control
  • Infinite-dimensional systems
  • Mobile masses
  • Phonons
  • Second-order linear equations

Fingerprint

Dive into the research topics of 'Asymptotic behaviour of infinite chains of coupled kinematic points: Second-order equations'. Together they form a unique fingerprint.

Cite this