We explore new results between P-matrix property and regularity of interval matrices. In particular, we show that an interval matrix is regular in and only if some special matrices constructed from its center and radius matrices are P-matrices. We also investigate the converse direction. We reduce the problem of checking P-matrix property to regularity of a special interval matrix. Based on thi...

Continuous-time linear systems with uncertain parameters are widely used for modeling real-life processes. The parameters, contained in the system and input matrices, can be constant or time-varying. In latter case, they may represent state dependencies of these matrices. Assuming bounded uncertainties, interval methods become applicable a verified reachability analysis, feasibility analysis fe...