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math.DS2019
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…
math.DS2018
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…