Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598475 | Linear Algebra and its Applications | 2016 | 29 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
E. Sarkans, H. Logemann,