Search Results for author: Ron Ofir

Found 4 papers, 0 papers with code

$k$-Contraction in a Generalized Lurie System

no code implementations14 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.

Contraction and $k$-contraction in Lurie systems with applications to networked systems

no code implementations27 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.

LEMMA

A sufficient condition for $k$-contraction in Lurie systems

no code implementations10 Nov 2022 Ron Ofir, Alexander Ovseevich, Michael Margaliot

We derive a new sufficient condition for $k$-contraction of a Lurie system.

LEMMA

The $k$-Compound of a Difference-Algebraic System

no code implementations2 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.

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