В современной прикладной математике интенсивно развиваются спектральные и
алгебраические методы исследования динамических систем, основанные на …

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 …

Праця присвячена сучасним методам аналiзу та синтезу динамiчних систем, що
ґрунтуються на застосуваннi матричних рiвнянь, лiнiйних та квадратичних матричних …

New methods for analysis of robust stability and optimization of discrete output feedback
control systems are developed. Sufficient stability conditions of the zero state are formulated …

The paper is devoted to working out new methods for stability analysis of equilibrium states
of nonlinear dynamic systems in a partially ordered space. The concerned classes of …

We develop new methods of robust stability analysis for equilibrium states and optimization
of nonlinear feedback control systems. For a family of nonlinear systems with uncertain …

We investigate localization of spectra of infinite matrices that can act as linear operators from
the Banach space lp, 1≤ p≤∞, to itself. To that end, we propose a method that is based on …

Linear matrix equations such as the Sylvester equation, Lyapunov equation, Stein equation,
and a variate of their generalizations are of significant importance in many applications. A …

In this work, we study the method of randomized Bregman projections for stochastic convex
feasibility problems, possibly with an infinite number of sets, in Euclidean spaces. Under …

Разрабатываются новые методы анализа робастной устойчивости состояний
равновесия и оптимизации нелинейных систем управления с обратной связью. Для …