We study stability issues for linear two-dimensional (2D) discrete systems by means of the constructive algebraic analysis approach to linear systems theory. We provide a general definition of structural stability for linear 2D discrete systems which coincides with the existing definitions in the particular cases of the classical Roesser and Fornasini-Marchesini models. We then study the preser...

We consider triples of matrices (E,A, B), representing singular linear time invariant systems in the form Eẋ(t) = Ax(t) + Bu(t), with E, A ∈ Mp×n(C) and B ∈ Mn×m(C), under proportional and derivative feedback. Using geometrical techniques we obtain miniversal deformations that permit us to study sensivity and structural stability of singular systems. Key-Words:Singular linear systems, proportio...

Several synthesis techniques have emerged for the preparation of chiral metal nanoparticles (NPs) with intrinsic geometrical structures and high optical activity. Chiral plasmonic NPs typically display intricate morphologies terminated by high-energy facets, resulting in limited long-term thermal stability, which is critical development their applications, e.g., biomedical field. gold nanorods ...

This paper presents a stability investigation of a special-shape arch bridge with a span of 180 m. Its structure and mechanics are significantly different from normal arch bridges because of its single arch rib skewing across the girder, its hangers hanging unevenly along the arch rib with different aslant angle, and its arch rib being subjected to massive axial compression force, bending momen...