57 citations · 336 across the 51 of their papers we have counts for
6 papers · 1 filter
Networks of ribosome flow models for modeling and analyzing intracellular traffic
Itzik Nanikashvili, Yoram Zarai, Alexander Ovseevich +2
The ribosome flow model with input and output (RFMIO) is a deterministic dynamical system that has been used to study the flow of ribosomes during mRNA translation. The RFMIO and i…
On the spectral properties of nonsingular matrices that are strictly sign-regular for some order with applications to totally positive discrete-time systems
Rola Alseidi, Michael Margaliot, Jürgen Garloff
A matrix is called strictly sign-regular of order (denoted by ) if all its minors are non-zero and have the same sign. For example, totally positive matrices…
A Generalization of Smillie's Theorem on Strongly Cooperative Tridiagonal Systems
Eyal Weiss, Michael Margaliot
Smillie (1984) proved an interesting result on the stability of nonlinear, time-invariant, strongly cooperative, and tridiagonal dynamical systems. This result has found many appli…
Output Selection and Observer Design for Boolean Control Networks: A Sub-Optimal Polynomial-Complexity Algorithm
Eyal Weiss, Michael Margaliot
Using a graph-theoretic approach, we derive a new sufficient condition for observability of a Boolean control network (BCN). Based on this condition, we describe two algorithms: th…
Dynamical Systems with a Cyclic Sign Variation Diminishing Property
Tsuff Ben-Avraham, Guy Sharon, Yoram Zarai +1
Several studies analyzed certain nonlinear dynamical systems by showing that the cyclic number of sign variations in the vector of derivatives is an integer-valued Lyapunov functio…
Revisiting Totally Positive Differential Systems: A Tutorial and New Results
Michael Margaliot, Eduardo D. Sontag
A matrix is called totally nonnegative (TN) if all its minors are nonnegative, and totally positive (TP) if all its minors are positive. Multiplying a vector by a TN matrix does no…