Abstract
In this manuscript, we consider the stability problem of Lur’e systems with sloperestricted
nonlinearities. We focus on a specific parametrisation of the Lyapunov-Lur’e functional
in the literature, and extend it to a higher order. Meanwhile, we show this Lyapunov-Lur’e
functional based stability criterion is equivalent to the search for noncausal FIR multipliers
with a restricted form for the SISO case. Finally, we discuss the restrictions of this Lyapunov-
Lur’e functional approach with some numerical examples.
nonlinearities. We focus on a specific parametrisation of the Lyapunov-Lur’e functional
in the literature, and extend it to a higher order. Meanwhile, we show this Lyapunov-Lur’e
functional based stability criterion is equivalent to the search for noncausal FIR multipliers
with a restricted form for the SISO case. Finally, we discuss the restrictions of this Lyapunov-
Lur’e functional approach with some numerical examples.
| Original language | English |
|---|---|
| Title of host publication | IFAC World Congress |
| Publisher | International Federation of Automatic Control (IFAC) |
| Publication status | Accepted/In press - 29 Jul 2020 |