In the present article, we consider the problem on location of the matrix spectrum with
respect to a parabola. In terms of solvability of a matrix Lyapunov type equation, we prove …

The method of oriented manifolds is developed to study geometric properties of the sets of
trajectories of nonlinear differential systems with control. This method is conceptually …

Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola | Siberian
Advances in Mathematics Skip to main content Springer Nature Link Account Menu Find a …

We present a method for the investigation of the stability and positivity of systems of linear
differential equations of arbitrary order. Conditions for the invariance of classes of cones of …

The problems on the location of the matrix spectrum inside or outside domains bounded by
ellipses or parabolas are studied. Special Lyapunov-type equations are connected with …

We investigate classes of dynamical systems in a partially ordered space with properties of
monotonicity type with respect to specified cones. We propose new methods for the stability …

We investigate properties of positive and monotone differential systems with respect to a
given cone in the phase space. We formulate criteria for the stability of linear positive …

Stability of Linear Positive Systems Page 1 Ukrainian Mathematical Journal, Vol. 53, No. 3, 2001
STABILITY OF LINEAR POSITIVE SYSTEMS AG Mazko UDC 517:512 We establish criteria of …

This paper is devoted to the spectrum localization problem for regular matrix polynomials
and functions. Sufficient conditions are proposed for spectrum placement in a wide class of …

Аннотация Изучаются задачи о матричном спектре, лежащем внутри или вне
областей, ограниченных эллипсом или параболой. С каждой из этих задач тесно …