We construct the Hasse diagrams G 2 and G 3 for the closure ordering on the sets of
congruence classes of 2× 2 and 3× 3 complex matrices. In other words, we construct two …

Cover relations for orbits and bundles of controllability and observability pairs associated
with linear time-invariant systems are derived. The cover relations are combinatorial rules …

It is constructed the Hasse diagram for the closure ordering on the sets of* congruence
classes of 2× 2 matrices. In other words, it is constructed the directed graph whose vertices …

Using a unifying terminology and notation an introduction to the theory of stratification for
orbits and bundles of matrices, matrix pencils and system pencils with applications in …

Matrix pencils, or pairs of matrices, may be used in a variety of applications. In particular, a
pair of matrices (E, A) may be interpreted as the differential equation E x'+ A x= 0. Such an …

Les équations de Riccati jouent un rôle important en théorie du contrôle à cause de leurs
valeurs théoriques et numériques. Dans ce mémoire, on met en évidence cette relation. On …

Актуальнiсть теми. Зведення матрицi до її жорданової форми нестабiльна операцiя: як
жорданова форма так i перетворення подiбностi до неї залежать розривно вiд …

Matrix pencils, or pairs of matrices, may be used in a variety of applications. In particular, a
pair of matrices (E, A) may be interpreted as the differential equation Ex+ Ax= 0. Such an …