Despite several decades of active experimental and theoretical studies rare-earth orthoferrites, the mechanism formation their specific magnetic, magnetoelastic, optical, magneto-optical properties remains a subject discussion. This paper provides an overview simple model approaches to quantitatively describing structure–property relationships—in particular, interplay between FeO6 octahedral de...

We design a new feedback law to stabilize the linear infinite-dimensional control system, where state operator generates $ C_0 $-group, and is unbounded. Our based on integration of mutated Gramian operator-valued function. In structure aforementioned operator, we utilize weak observability inequality in [21,13] borrow some idea used construct generalized operators [11,23,24]. Unlike most relat...