摘要：AbstractIn this manuscript, we consider the stability problem of Lur’e systems with slope-restricted 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.
