no code implementations • 14 Sep 2023 • Ron Ofir, Jean-Jacques Slotine, Michael Margaliot
We derive a sufficient condition for $k$-contraction in a generalized Lurie system (GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinear function.
no code implementations • 27 Dec 2022 • Ron Ofir, Alexander Ovseevich, Michael Margaliot
A Lurie system is the interconnection of a linear time-invariant system and a nonlinear feedback function.
no code implementations • 10 Nov 2022 • Ron Ofir, Alexander Ovseevich, Michael Margaliot
We derive a new sufficient condition for $k$-contraction of a Lurie system.
no code implementations • 2 Nov 2021 • Ron Ofir, Michael Margaliot
Here, we introduce the $k$-compound system corresponding to a differential-algebraic system, and describe several applications to the analysis of discrete-time dynamical systems described by difference-algebraic equations.