3 papers
math.SP2021
Generalized D-stability and diagonal dominance with applications to stability and transient response properties of systems of ODE
Olga Y. Kushel, Raffaella Pavani
In this paper, we introduce the class of diagonally dominant (with respect to a given LMI region ) matrices that possesses the analogues of well-…
math.SP2020
The problem of generalized D-stability in unbounded LMI regions
Olga Y. Kushel, Raffaella Pavani
We generalize the concepts of D-stability and additive D-stability of matrices. For this, we consider a family of unbounded regions defined in terms of Linear Matrix Inequalities (…
math.AP2016
Variational formulation of the Melan equation
Filippo Gazzola, Yongda Wang, Raffaella Pavani
The Melan beam equation modeling suspension bridges is considered. A slightly modified equation is derived by applying variational principles and by minimising the total energy of…