57 citations · 336 across the 51 of their papers we have counts for
6 papers · 1 filter
Discrete-time k-positive linear systems
Rola Alseidi, Michael Margaliot, Jürgen Garloff
Positive systems play an important role in systems and control theory and have found many applications in multi-agent systems, neural networks, systems biology, and more. Positive…
On the Exponent of Several Classes of Oscillatory Matrices
Yoram Zarai, Michael Margaliot
Oscillatory matrices were introduced in the seminal work of Gantmacher and Krein. An matrix is called oscillatory if all its minors are nonnegative and there exists…
No Switching Policy is Optimal for a Positive Linear System with a Bottleneck Entrance
Mahdiar Sadeghi, M. Ali Al-Radhawi, Michael Margaliot +1
We consider a nonlinear SISO system that is a cascade of a scalar "bottleneck entrance" and an arbitrary Hurwitz positive linear system. This system entrains i.e. in response to a…
Entrainment to Subharmonic Trajectories in Oscillatory Discrete-Time Systems
Rami Katz, Michael Margaliot, Emilia Fridman
A matrix is called totally positive (TP) if all its minors are positive, and totally nonnegative (TN) if all its minors are nonnegative. A square matrix is called oscillato…
Ribosome flow model with different site sizes
Eyal Bar-Shalom, Alexander Ovseevich, Michael Margaliot
We introduce and analyze two general dynamical models for unidirectional movement of particles along a circular chain and an open chain of sites. The models include a soft version…
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…