22 citations · 56 across the 17 of their papers we have counts for
8 papers · 1 filter
On Determining the Convergence Rate of an Infinite Product of Stochastic Matrices
Ron Ofir, A. Stephen Morse
By a convergent set is meant a set of stochastic matrices where every infinite product of matrices from every compact subset converges to a rank one matrix. Well-known examples inc…
Consensus Seminorms and their Applications
Ron Ofir, Ji Liu, A. Stephen Morse +1
Consensus is a well-studied problem in distributed sensing, computation and control, yet deriving useful and easily computable bounds on the rate of convergence to consensus remain…
A networked small-gain theorem based on discrete-time diagonal stability
Ron Ofir, Michael Margaliot
We present a new sufficient condition for finite-gain input-to-output stability of a networked system. The condition requires a matrix, that combines information on the …
A sufficient condition for 2-contraction of a feedback interconnection
Ron Ofir, Francesco Bullo, Michael Margaliot
Multistationarity - the existence of multiple equilibrium points - is a common phenomenon in dynamical systems from a variety of fields, including neuroscience, opinion dynamics, s…
-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…