19 citations · 29 across the 17 of their papers we have counts for
20 papers
Recursive determinantal framework for testing D-stability
Olga Y. Kushel
The concept of matrix -stability, introduced in 1958 by Arrow and McManus, is of major importance across a wide variety of applications in economic modeling, ecology, and contro…
How to check D-stability: a simple determinantal test
Olga Y. Kushel
The concept of matrix -stability, introduced in 1958 by Arrow and McManus is of major importance due to the variety of its applications. However, characterization of matrix -…
Some bounds for determinants of relatively -stable matrices
Olga Y. Kushel
In this paper, we study the class of relatively -stable matrices and provide the conditions, sufficient for relative -stability. We generalize the well-known Hadamard inequal…
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-…
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 (…
Geometric properties of LMI regions
Olga Y. Kushel
LMI (Linear Matrix Inequalities) regions is an important class of convex subsets of arising in control theory. An LMI region is defined by its matrix-valu…