Convolution algebra representation of systems described by linear hyperbolic partial differential equations

S. P. Levkov, Józef Korbicz

Research output: Contribution to journalArticlepeer-review

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Abstract

The representation of the input-output operator in convolution algebra B(σ0) is obtained for distributed parameter systems described by linear hyperbolic partial differential equations. Three kinds of system are considered depending on the kind of coefficient matrix corresponding to the space variable derivative, and their properties are studied. Necessary and sufficient conditions for stability are obtained in terms of factorization of the transition matrix. The obtained results allow the use of modern algebraic methods for analysis of such systems.

Original languageEnglish (US)
Pages (from-to)2029-2044
Number of pages16
JournalInternational Journal of Control
Volume49
Issue number6
DOIs
StatePublished - Jun 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications

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