22 citations · 56 across the 17 of their papers we have counts for
17 papers
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…
Orthant-Monotonic Norms and Additive D-Stability
Ron Ofir, Michael Margaliot
Matrix measures induced by vector norms are widely used in contraction theory of nonlinear dynamical systems. A natural and important robustness question is whether negativity of a…
Inversion of the Multiplicative Matrix Compound Operator
Debojyoti Dey, Ron Ofir, Christian Grussler
We study the problem of determining a matrix whose th multiplicative compound, with , is a prescribed matrix . The cardinality of the set of matrices whose th multi…
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…
Multiplicative and additive compounds via Kronecker products and Kronecker sums
Ron Ofir, Michael Margaliot
Compound matrices play an important role in many fields of mathematics and have recently found new applications in systems and control theory. However, the explicit formulas for th…
-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…
On singularly perturbed systems that are monotone with respect to a matrix cone of rank
Ron Ofir, Pietro Lorenzetti, Michael Margaliot
We derive a sufficient condition guaranteeing that a singularly perturbed linear time-varying system is strongly monotone with respect to a matrix cone of rank . This implie…
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…
On the gain of entrainment in the -dimensional ribosome flow model
Ron Ofir, Thomas Kriecherbauer, Lars Grüne +1
The ribosome flow model (RFM) is a phenomenological model for the flow of particles along a 1D chain of sites. It has been extensively used to study ribosome flow along the mRN…
Verifying -Contraction without Computing -Compounds
Omri Dalin, Ron Ofir, Eyal Bar Shalom +3
Compound matrices have found applications in many fields of science including systems and control theory. In particular, a sufficient condition for -contraction is that a logari…
Minimum effort decentralized control design for contracting network systems
Ron Ofir, Francesco Bullo, Michael Margaliot
We consider the problem of making a networked system contracting by designing minimal effort local controllers. Our method combines a hierarchical contraction characterization 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 sufficient condition for -contraction of the series connection of two systems
Ron Ofir, Michael Margaliot, Yoash Levron +1
The flow of contracting systems contracts 1-dimensional parallelotopes, i.e., line segments, at an exponential rate. One reason for the usefulness of contracting systems is that ma…
Serial interconnections of 1-contracting and 2-contracting systems
Ron Ofir, Michael Margaliot, Yoash Levron +1
The flow of contracting systems contracts 1-dimensional polygons (i.e. lines) at an exponential rate. One reason for the usefulness of contracting systems is that many interconnect…