Imposing Boundary Conditions for a Class of Spatially-Interconnected Systems

Cédric Langbort, Raffaello D'Andrea

Research output: Contribution to journalConference articlepeer-review

Abstract

We present a class of spatially interconnected systems with boundary conditions that have close links with their spatially invariant extensions. In particular well-posedness, stability and performance of the extension imply the same characteristics for the actual, finite extent system. In turn existing synthesis methods for control of spatially invariant systems can be extended to this class. The relation between the two kinds of system is proved using ideas based on the 'Method of Images' of partial differential equations theory and uses symmetry properties of the interconnection as a key tool.

Original languageEnglish (US)
Pages (from-to)107-112
Number of pages6
JournalProceedings of the American Control Conference
Volume1
StatePublished - Nov 6 2003
Externally publishedYes
Event2003 American Control Conference - Denver, CO, United States
Duration: Jun 4 2003Jun 6 2003

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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