Controllability of networks of one-dimensional second order p.d.e. - An algebraic approach

2008/04/07 by Frank Woittennek, Hugues Mounier, Woittennek, Frank +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #93B05 #93B25 #93C20 #FOS: Mathematics #Nonlinear Waves and Solitons #Optimization and Control (math.OC) #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #math.OC #msc:93B05 #msc:93B25 #msc:93C20

paper · pdf · doi:10.48550/arxiv.0804.1012

16 pages; sections 1 and 3.2 revised; corrected typos

openalex publication_date 2008/04/07 · arxiv created 2008/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss controllability of systems that are initially given by boundary coupled p.d.e. of second order. Those systems may be described by modules over a certain subring R of the ring of Mikusinski operators with compact support. We show that the ring R is a Bezout domain. This property is utilized in order to derive algebraic and trajectory related controllability results.

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