57 citations · 336 across the 51 of their papers we have counts for
63 papers
On the gain of entrainment in stable linear control systems with a nonlinear output
Ram Massas, Michael Margaliot
A control system admits a positive gain of entrainment (GOE) if entrainment to a periodic input yields a larger output, on average, than the output generated by the corresponding c…
Negative feedback and oscillations in a model for mRNA translation
Aliza Ehrman, Thomas Kriecherbauer, Lars Gruene +1
The ribosome flow model (RFM) is a phenomenological model for the unidirectional flow of particles along a 1D chain of sites. The RFM has been extensively used to study the dyn…
Random attraction in TASEP with time-varying hopping rates
Lars Grüne, Kilian Pioch, Thomas Kriecherbauer +1
The totally asymmetric simple exclusion principle (TASEP) is a fundamental model in nonequilibrium statistical mechanics. It describes the stochastic unidirectional movement of par…
Model order reduction for the TASEP Master equation
Kilian Pioch, Thomas Kriecherbauer, Michael Margaliot +1
The totally asymmetric simple exclusion process (TASEP) is a stochastic model for the unidirectional dynamics of interacting particles on a D-lattice that is much used in system…
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 the gain of entrainment in a class of weakly contractive bilinear control systems with applications to the master equation and the ribosome flow model
Rami Katz, Thomas Kriecherbauer, Lars Grüne +1
We consider a class of bilinear weakly contractive systems that entrain to periodic excitations. Entrainment is important in many natural and artificial processes. For example, in…
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…
Compound matrices in systems and control theory: a tutorial
Eyal Bar-Shalom, Omri Dalin, Michael Margaliot
The multiplicative and additive compounds of a matrix play an important role in several fields of mathematics including geometry, multi-linear algebra, combinatorics, and the analy…
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…
On matrices whose exponential is a P-matrix
Chengshuai Wu, Michael Margaliot
A matrix is called a P-matrix if all its principal minors are positive. P-matrices have found important applications in functional analysis, mathematical programming, and dynamical…
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…
Compound matrices in systems and control theory
Eyal Bar-Shalom, Michael Margaliot
The multiplicative and additive compounds of a matrix play an important role in several fields of mathematics including geometry, multi-linear algebra, combinatorics, and the analy…
Diagonal Stability of Discrete-time -Positive linear Systems with Applications to Nonlinear Systems
Chengshuai Wu, Michael Margaliot
A linear dynamical system is called -positive if its dynamics maps the set of vectors with up to sign variations to itself. For , this reduces to the important class…
Behavior of Totally Positive Differential Systems Near a Periodic Solution
Chengshuai Wu, Lars Gruene, Thomas Kriecherbauer +1
A time-varying nonlinear dynamical system is called a totally positive differential system (TPDS) if its Jacobian admits a special sign pattern: it is tri-diagonal with positive en…
Generalization of the multiplicative and additive compounds of square matrices and contraction in the Hausdorff dimension
Chengshuai Wu, Raz Pines, Michael Margaliot +1
The multiplicative and additive compounds of a matrix play an important role in geometry, multi-linear algebra, the asymptotic analysis of nonlinear dynamical systems, and…
Variability in mRNA Translation: A Random Matrix Theory Approach
Michael Margaliot, Wasim Huleihel, Tamir Tuller
The rate of mRNA translation depends on the initiation, elongation, and termination rates of ribosomes along the mRNA. These rates depend on many "local" factors like the abundance…
k-Contraction: Theory and Applications
Chengshuai Wu, Ilya Kanevskiy, and Michael Margaliot
A dynamical system is called contractive if any two solutions approach one another at an exponential rate. More precisely, the dynamics contracts lines at an exponential rate. This…