10 citations · 10 across the 5 of their papers we have counts for
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A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems
I. Lewkowicz
There are four variants of passive, linear time-invariant systems, described by rational functions: Continuous or Discrete time, Positive or Bounded real. By introducing a quadrati…
Passive Linear Discrete-Time Systems: Characterization through Structure
Izchak Lewkowicz
We here show that the family of finite-dimensional, discrete-time, passive, linear time-invariant systems can be characterized through the structure of maximal, matrix-convex set,…
Quantitatively Hyper-Positive Real Functions
Daniel Alpay, Izchak Lewkowicz
Hyper-Positive real, matrix-valued, rational functions are associated with absolute stability (the Lurie problem). Here, quantitative subsets of Hyper-positive functions, related t…
Passive Linear Continuous-Time Systems: Characterization Through Structure
Izchak Lewkowicz
We here show that the family of continuous-time linear systems (of prescribed dimensions) can be characterized through the structure of maximal, matrix-convex, cones, closed under…
Realization of tensor-product and of tensor-Factorization of rational functions
Daniel Alpay, Izchak Lewkowicz
We here first study the state space realization of a tensor-product of a pair of rational functions. At the expense of "inflating" the dimensions, we recover the classical expressi…