Controllability of networks of spatially one-dimensional second order p.d.e. – an algebraic approach

Abstract : We discuss controllability of systems that are initially given by boundary coupled PDEs of second order. These systems may be described by modules over particular rings of distributions and ultradistributions with compact support arising from the solution of the Cauchy problem of the PDE under consideration with data on the time axis. We show that those rings are Bézout domains. This property is utilized in order to derive algebraic and trajectory related controllability results.
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Frank Woittennek, Hugues Mounier. Controllability of networks of spatially one-dimensional second order p.d.e. – an algebraic approach. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2010, 48, pp.3882-3902. ⟨hal-00526143⟩

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