Stability analysis of large-scale functional differential systems

The present paper is focused on a new method for analysis of stability of solutions of a large-scale functional differential system via matrix-valued Lyapunov-Krasovskii functionals. The stability conditions are based on information about the dynamical behavior of subsystems of the general system and properties of the functions of interconnection between them.Запропоновано один новий метод аналізу стійкості розв'язків великомасштабної функціонально-диференціальної системи на основі матричнозначного функціонала Ляпунова - Красовського. Умови стійкості ґрунтуються на динамічній поведінці підсистем загальної системи та властивостях функцій зв'язку між ними

Riociguat treatment in patients with chronic thromboembolic pulmonary hypertension: Final safety data from the EXPERT registry

Objective: The soluble guanylate cyclase stimulator riociguat is approved for the treatment of adult patients with pulmonary arterial hypertension (PAH) and inoperable or persistent/recurrent chronic thromboembolic pulmonary hypertension (CTEPH) following Phase

Stability analysis of the set of trajectories for differential equations with fractional dynamics

In this paper we consider the problem of stability analysis of the set of trajectories for fractional differential equations under interval initial conditions. Sufficient conditions for Lyapunov-type stability and Mittag-Leffler stability are obtained based on some matrix auxiliary Lyapunov functions and a pseudo-linear representation of integral inequalities

Stability analysis of linear impulsive differential systems under structural perturbation

The stability and asymptotic stability of solutions of large-scale linear impulsive systems under structural perturbations are investigated. Sufficient conditions for stability and instability are formulated in terms of the fixed signs of special matrices.Досліджуються стійкість та асимптотична стійкість розв'язків великомасштабної лінійної імпульсної системи при структурних збуреннях. Достатні умови стійкості та нестійкості сформульовані на основі знаковизначеності спеціальних матриц

Stability analysis with respect to two measures of impulsive systems under structural perturbations

The asymptotic stability with respect to two measures of impulsive systems under structural perturbations is investigated. Conditions of asymptotic (ρ₀, ρ)-stability of the system in terms of the fixed signs of some special matrices are established.Досліджується асимптотична стійкість за двома мірами імпульсних систем при структурних збуреннях. Встановлено умови асимптотичної (ρ₀,ρ)-стійкості системи в термінах знаковизначеності спеціальних матриць

Features of cutaneous microcirculatory blood flow in patients with pulmonary hypertension of different etiology

Aim: to evaluate features of the functional state of microvascular bed of the skin in patients with pulmonary arterial hypertension associated to congenital cardiac disease (PAH-CCD) and chronic thromboembolic pulmonary hypertension (CTEPH). Methods. In study included 25 patients (41.6±15.8) with PAH-CCD, 25 patients (48.8±14.2) with CTEPH and 25 healthy volunteers (39.3±10.1 years). All the patients underwent a six-minute walking test (6-MWT), transthoracic echocardiography, thorax organs radiography, right heart catheterization (RHC) and Laser Doppler flowmetry (LDF) with amplitude and frequency wavelet analysis of blood flow oscillations and evaluation of constrictory and dilatatoryskin resistive microvesselsfunctions. Results. In the PAH-CCD in relation to the CTEPH groupaccording to the RHC were noted significantly higher values of systolic pressure in pulmonary artery (93.2 and 77.8 mm Hg respectively) and venous mixted blood saturation(63 and 57% Hg respectively). On this background 6-MWT distance was 356 and 325 m, the Borg dyspnea scale index was on average 3.12 and 3.76 respectively. According to the LDF pulseoximetry PAH-CCD and CTEPH patients had 90.1 and 94.7% respectively. According to the LDF with amplitude and frequency wavelet analysis the PAH-CCD patients had significantly higher values of the amplitude of myogenic, respiratory and pulse sectionof blood flow modulation, and also increased constrictory activity smooth muscle cells of skin precapillary arterioles in response to the stretching at venous occlusion and decreased dilatatory reserve at post-occlusive reactive hyperemia. According to the LDF the CTEPH patients had elongationof time development of microvessel constriction in response to activation of sympathetic nervous systemin respiratory and cold tests. Conclusion. According to the LDF functional state of skin microvessels in systemic circulation of the CTEPH patients was comparable with control groupexcept for elongation of time development of microvessel reactions for sympathetic vasoconstrictor stimulations. The PAH-CCD patients demonstrated basal tonus decreasing of smooth muscle cells of skin precapillary arterioles in systemic circulation, which can be regarded as a manifestation of autoregulatory response to systemic hypoxia