Equivalence of a behavioral distance and the gap metric

DOI10.1016/J.SYSCONLE.2005.07.007zbMath1129.93408OpenAlexW2167787054MaRDI QIDQ2504650

Joseph A. Ball, Amol J. Sasane

Publication date: 25 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2005.07.007

zbMATH Keywords

graphsbehaviorsgap metricextended graphsstate linear systems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Operator-theoretic methods (93B28) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (5)

Distance problems in the behavioral setting ⋮ Complexity reduction of large-scale stochastic systems using linear quadratic Gaussian balancing ⋮ The Weyl essential spectrum of a sequence of linear operators in Banach spaces ⋮ Sequence of linear operators in non-Archimedean Banach spaces ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach

Cites Work

• Interpolation of rational matrix functions
• Perturbation theory for linear operators.
• Admissible factorizations of Hankel operators induce well-posed linear systems
• Optimal robustness in the gap metric
• Distance between behaviours
• Introduction to number theory
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