Spectral Assignability of Systems with Scalar Control and Application to a Degenerate Hyperbolic System

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Abstract

Some distributed-parameter systems with scalar boundary control can be represented as systems with Hilbert spaces for which the input functionals may not be continuous but are admissible in some sense. A spectral assignability result is proved for such systems. The conditions needed are that the system should be approximately controllable and that feedback relations of a certain type are continuous. These conditions are shown to be satisfied by systems that are exactly controllable. The general results are applied to a degenerate hyperbolic system; it is shown to be exactly controllable, and a spectral assignability result is obtained.
Original languageEnglish
Title of host publication1986 25th IEEE Conference on Decision and Control
PublisherIEEE
Pages149-152
Number of pages4
DOIs
StatePublished - 1986
Event1986 IEEE Conference on Decision and Control - Athens, Greece
Duration: Dec 10 1986Dec 12 1986
Conference number: 25

Conference

Conference1986 IEEE Conference on Decision and Control
Country/TerritoryGreece
CityAthens
Period12/10/8612/12/86

ASJC Scopus Subject Areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Keywords

  • control systems

Disciplines

  • Astrophysics and Astronomy

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