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 $k$ (denoted by $SS{R}_k$) if all its $k\times k$ minors are non-zero and have the same sign. For example, totally positive matrices…