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.
- 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
- Centre for Mathematical Biology
- EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
- Department of Mathematical Sciences - Professor Emeritus
Person: Honorary / Visiting Staff