The Kyiv National University of Construction and Architecture (informally referred to as KNUCA) – better known under its former name Kyiv Civil Engineering Institute – is the largest and most important building and architectural university of Ukraine located in the nation's capital, Kyiv.
Numerical method for solving the problems of nonstationary vibrations for structural members made of electroelastic functionally graded material is presented taking into account electromechanical losses and interaction with the acoustic medium. Universal numerical approach is used for studying the vibrations of plane layers, cylinders, and spheres. It is based on finite-difference expressions. To take into account the dissipative characteristics of the material, the Kelvin–Voigt viscoelasticity model is used for the case of electroelasticity. Similar to complex moduli, the mechanical, dielectric, and piezoelectric damping coefficients are introduced to account for mechanical and electrical losses. Numerical studies of the behavior of functionally inhomogeneous cylinders and spheres under the action of nonstationary electrical load have shown that mechanical losses have the greatest effect on the damping of vibrations. It is concluded that taking into account energy dissipation according to the viscoelastic Kelvin–Voigt model with experimentally substantiated damping coefficients allows modeling the vibrations of piezoelectric elements with sufficient accuracy. The dependence of the logarithmic decrements of vibrations on the polymer fraction and the geometric dimensions of the cylinder is studied. The damping of vibrations of a piezoelectric sphere immersed in the fluid under electrical load of a step-like profile is analyzed. It is established that the damping of vibrations occurs in this case more than ten times faster than when accounting for internal mechanical losses without the acoustic medium.
Hardware noise and finite sampling perturb the fidelity estimates forming a quantum-kernel Gram matrix. We measured how far three hardware-reconstructed Gram matrices depart from an exact statevector reference for one frozen four-qubit ZZ feature map on N=24 indoor air-quality windows, executed on ibm_fez at 1024 shots per circuit in three single, non-interleaved jobs: baseline, dynamical decoupling alone, and gate twirling alone. All were complete, finite, and positive-semidefinite. Off-diagonal root-mean-squared error (RMSE) against the reference was 0.0878, 0.0864, and 0.0427; full-matrix centered kernel alignment (CKA) ranged 0.933-0.989 and the post hoc diagonal-excluded (U-centered) CKA 0.816-0.986. The gate-twirled job deviated least on every reported geometry axis; its baseline contrasts are deletion-stable for the Spearman, mean-absolute-error, RMSE, and full-matrix CKA diagnostics, while the Pearson and diagonal-excluded contrasts fall just below that convention. Dynamical decoupling was not separated from the baseline. The observed error exceeded both finite-shot reference scales, so, under those sampling-only models, sampling does not explain it. Centered kernel-target alignment did not track reconstruction fidelity and stayed at or below each label-permutation reference: implementation fidelity and task relevance are distinct diagnostic axes. All configuration-level statements describe three realized jobs on one backend; no mitigation-efficacy, classifier-superiority, forecasting, or quantum-advantage claim is made.
This article proposes a strategic framework for Kyiv’s post-conflict sustainability and resilience under brittle, anxious, non-linear, and incomprehensible (BANI) conditions. We integrate adaptive governance, circular-economy reconstruction, and city-scale digital capabilities, including AI-enabled analytics, IoT sensing, and urban digital twins. Building on recent assessments of Ukraine’s reconstruction needs, we outline a socio-technical model that links sustainability and resilience objectives under shock risk and budget constraints and show how an illustrative five-year optimisation can rebalance investments toward distributed renewables and early-warning infrastructure. The example portfolio achieves an end-horizon composite performance of Foptimized(5) = 0.65 (on a 0–1 normalised index where 1 indicates achieving the policy-defined targets; 0.65 indicates ~65% progress toward those targets at year 5, improving on the baseline allocation under shocks), indicating improved robustness relative to a baseline allocation. We emphasise that effective implementation depends on secure-by-design digital architecture, participatory prioritisation of indicators and weights, and iterative monitoring that supports rapid adaptation as conditions evolve. The framework provides a pragmatic roadmap for Kyiv and similarly vulnerable cities seeking a low-carbon recovery while reducing systemic brittleness and mitigating anxiety-driven decision-making delays.
The purpose of the article is to identify, systematise and typologise the tools and macroeconomic challenges to the sustainability of public finances in the context of the current struggle for Ukraine's independence (the Russian-Ukrainian war) and the European integration orientation of the ontogenesis of the system for managing them. Methodology. The methodology is based on a multi-approach that combines empirical data on the structural and qualitative parameters of the functioning of the public finance system, econometric modelling of its parameters, and a "heat matrix" for visualising and developing practical recommendations for ensuring the sustainability of public finances during the Russian-Ukrainian war. Results. Empirical research has shown that defence spending has the greatest impact on the structure of state budget expenditure, with each increase of 1 billion UAH leading to an increase in total expenditure of 1.32 billion UAH (β₃ = 1,3178, p = 0,005). A comprehensive correlation analysis of macrofinancial indicators confirmed the high dependence of tax revenues on the macroeconomic context (r ≈ 0.99) and an inverse correlation between defence spending and the budget balance (r ≈ -0.61), which demonstrates the mechanism of deficit formation in conditions of armed conflict. Based on forecast models, it has been established that the budget deficit could be reduced from 20.4% of GDP in 2024 to 4.5% in 2027, provided that international financial support for Ukraine's sovereignty and its European integration aspirations remains united. Practical significance of the study. The developed integrated model for assessing the sustainability of public finances provides public authorities with scientifically sound recommendations on optimising the allocation of fiscal resources and attracting domestic and external sources of financing in extreme conditions marked by armed conflict. The set of macro-financial indicators and approaches to monitoring fiscal risks proposed in the study serves as a practical tool for the rapid assessment of critical changes in public finances and the timely adjustment of budgetary and tax policies, taking into account the triggers identified in sectoral documents that determine the architecture of the public finance management system. The scientific novelty of the study lies in the construction of a comprehensive model for assessing the sustainability of public finances, adapted to the extreme conditions of armed conflict, which synthesises econometric modelling with multifaceted correlation analysis. A key innovation is the establishment of the fact that fiscal sustainability depends not only on orthodox debt and deficit indicators, but also on systemic interaction, expressed through the transmission mechanism of the tax base, the volume of external financing and the structure of budget expenditures. This corresponds to the conditions of the new normal in public finance and is in line with Ukrainian academic discourse on assessing the sustainability of public finances, taking into account the needs of early post-war recovery.
The article addresses the urgent problem of improving the operational reliability of IoT monitoring systems at critical infrastructure facilities under unstable environmental conditions. The authors provide a detailed analysis of key destabilizing factors, including a high level of uncertainty, electromagnetic interference, transmission delays, and the incompleteness of incoming sensor data. The limitations of classical deterministic boolean logic algorithms when operating in dynamic real-time conditions are substantiated. The use of the mathematical apparatus of fuzzy sets and fuzzy logic is proposed, which allows formalizing expert knowledge and operating with linguistic variables. A functional risk assessment model based on a fuzzy rule base and the Mamdani algorithm was developed in the MATLAB environment. The simulation results confirmed the system's ability to ensure smooth control and high resilience to noisy information. The findings can be applied to the design of intelligent decision support systems to minimize the risks of emergency situations.
