57 citations · 336 across the 51 of their papers we have counts for
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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…