Stability of higher-order discrete-time Lur'e systems

DOI10.1016/j.laa.2016.05.012zbMath1382.93021OpenAlexW2397289265MaRDI QIDQ739103

E. Sarkans, Hartmut Logemann

Publication date: 17 August 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/50637/1/io_lure_systems_revised_may_2016.pdf

zbMATH Keywords

absolute stabilitypolynomial matricesglobal asymptotic stabilitycircle criterionARMA modelsLur'e systemsinput-to-output stabilitystability in the largeinput-output systemscomplexified Aizerman conjecture

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Popov-type stability of feedback systems (93D10) Dynamical systems in control (37N35) Realizations from input-output data (93B15) General theory of difference equations (39A05) Matrices, determinants in number theory (11C20)

Related Items (6)

Stabilization by Adaptive Feedback Control for Positive Difference Equations with Applications in Pest Management ⋮ The circle criterion for a class of sector-bounded dynamic nonlinearities ⋮ A circle criterion for strong integral input-to-state stability ⋮ Semi-global incremental input-to-state stability of discrete-time Lur'e systems ⋮ Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems ⋮ Boundedness, persistence and stability for classes of forced difference equations arising in population ecology

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