57 citations · 336 across the 51 of their papers we have counts for
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-Contraction in a Generalized Lurie System
Ron Ofir, Jean-Jacques Slotine, Michael Margaliot
We derive a sufficient condition for -contraction in a generalized Lurie system~(GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinea…
Contraction and -contraction in Lurie systems with applications to networked systems
Ron Ofir, Alexander Ovseevich, Michael Margaliot
A Lurie system is the interconnection of a linear time-invariant system and a nonlinear feedback function. We derive a new sufficient condition for -contraction of a Lurie syste…
A sufficient condition for -contraction in Lurie systems
Ron Ofir, Alexander Ovseevich, Michael Margaliot
We consider a Lurie system obtained via a connection of a linear time-invariant system and a nonlinear feedback function. Such systems often have more than a single equilibrium and…
The -Compound of a Difference-Algebraic System
Ron Ofir, Michael Margaliot
The multiplicative and additive compounds of a matrix have important applications in geometry, linear algebra, and the analysis of dynamical systems. In particular, the -compoun…
A Generalization of Linear Positive Systems with Applications to Nonlinear Systems: Invariant Sets and the Poincaré-Bendixson Property
Eyal Weiss, Michael Margaliot
The dynamics of linear positive systems map the positive orthant to itself. In other words, it maps a set of vectors with zero sign variations to itself. This raises the following…
Approximating the Frequency Response of Contractive Systems
Michael Margaliot, Samuel Coogan
We consider contractive systems whose trajectories evolve on a compact and convex state-space. It is well-known that if the time-varying vector field of the system is periodic then…