9 citations · 22 across the 11 of their papers we have counts for
12 papers · 1 filter
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…
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…
On the Diagonal Stability of -Positive Linear Systems
Chengshuai Wu, Michael Margaliot
We consider -positive linear systems, that is, systems that map the set of vectors with up to sign variations to itself. For , this reduces to positive linear systems…
Random attraction in the TASEP model
Lars Grüne, Thomas Kriecherbauer, Michael Margaliot
The totally asymmetric simple exclusion process (TASEP) is a basic model of statistical mechanics that has found numerous applications. We consider the case of TASEP with a finite…