Multidimensional Discrete Stability by Serre Categories and the Construction and Parametrization of Observers via Gabriel Localizations

DOI10.1137/120868335zbMath1271.93030OpenAlexW2053804020MaRDI QIDQ2848569

Martin Scheicher, Ulrich Oberst

Publication date: 26 September 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4d5831383e1d897c6275c36a2bfc2ec1e4b83364

zbMATH Keywords

characteristic varietyGabriel localizationSerre categorymultidimensional stabilitypolynomial-exponential trajectoriesmultidimensional observerstable autonomous systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Observability (93B07) Algebraic methods (93B25) Partial difference equations (39A14)

Related Items (5)

The computation of purity filtrations over commutative Noetherian rings of operators and their application to behaviors ⋮ Controllability up to negligible trajectories of discrete multidimensional behaviours ⋮ The asymptotic stability of stable and time-autonomous discrete multidimensional behaviors ⋮ Time-autonomy and time-controllability of discrete multidimensional behaviours ⋮ A Generalized Tracking and Disturbance Rejection Problem for Multidimensional Behaviors

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