Abstract
We consider discrete-time Lur’e systems obtained by applying nonlinear feedback to a system of higher-order difference equations (ARMA models). The ARMA model relates the inputs and outputs of the linear system and does not involve any internal or state variables. A stability theory subsuming results of circle criterion type is developed, including criteria for input-to-output stability, a concept which is very much reminiscent of input-to-state stability.
Original language | English |
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Pages (from-to) | 183-211 |
Number of pages | 30 |
Journal | Linear Algebra and its Applications |
Volume | 506 |
Early online date | 26 May 2016 |
DOIs | |
Publication status | Published - 1 Oct 2016 |
Keywords
- Absolute stability, ARMA models, circle criterion, complexified Aizerman conjecture, global asymptotic stability, input-to-output stability, input-output systems, Lur’e systems, polynomial matrices, stability in the large
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Hartmut Logemann
- Department of Mathematical Sciences - Professor Emeritus
Person: Honorary / Visiting Staff