A spectral approach to the indirect boundary control of a system of weakly coupled wave equations

Zhuangyi Liu, Bopeng Rao

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

In this paper, we study the exact controllability of a system of two weakly coupled one-dimensional wave equations with the control acted on only one equation. Using the non harmonic analysis, we establish the weak observability inequalities, which depend on the ratio of the wave propagation speeds. The obtained results are optimal.

Original languageEnglish (US)
Pages (from-to)399-414
Number of pages16
JournalDiscrete and Continuous Dynamical Systems
Volume23
Issue number1-2
DOIs
StatePublished - Jan 2009

Keywords

  • Exact controllability
  • Ingham's inequality
  • Non harmonic analysis
  • Weak observability

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