The study of the problems of sustainable development of the ecological and urban planning system " population ↔ environment" of various levels of its functional and spatial integrity (local, regional, national, world-wide) reveals a number of fundamental provisions that establish the conceptual foundations of a new direction in urban planning science that potentially exists in certain individual works.The development of urban planning aspects of the stability theory is based on the fundamental concept of the physico-mathematical stability theory that is more developed at the present time and the research findings, which established the cyclical nature of the multilevel processes of wave development of the "population ↔ environment" system. The urban planning stability theory studies the nature of the vibrational development of urbanization processes accelerating in a multi-level ecological space.The paper reveals a number of similarities and fundamental differences in the states of stability and the dynamic pattern that are inherent in the development of living and inanimate natural systems. Regarding the differences in state of equilibrium: equilibrium is the goal of development for living systems within a certain cycle and the level of their spatial integrity. For inanimate systems equilibrium is the initial state.Concerning the differences in the stability of the location of the "center of mass": the "center of mass" should occupy the highest possible position (in the range of ecological equilibrium) for living systems; for the inanimate-to take the lowest possible position. When developing the urban develo-pment aspects of stability theory were used such concepts of physical and mathematical stability theory as: asymptotic stability; stability "in time" according to Lyapunov; stability "in space" ("stable − unstable node", "stable − nonstable focus ", "stable center"). Marked concepts are important for the analysis of multi-level processes of accelerating development of the ecological and urban planning system; forecasting the direction of its further changes; determination of focuses and parameters of application of urban planning regulatory influences; adapted sustainable development management.

Conditions and stages of formation of the fractally embedded set of concentric zones of accessibility of cities on the example of Kiev are considered. The number of "levels of embedding" of such a set depends on the attractiveness and status of the city. It was established that discontinuity of space developing is associated with economic development and engineering and transport networks. A rapid growth of these networks leads to the transformation of the traditionally central type of irregularity of developing the space into the multinuclear clustered systems of settlement. In the zone of Kiev influence, there are five qualitatively differed by intensity of socioeconomic links and speed of movement belts are distinguished. On the base of quantitative characteristics of these belts, it was established that in successive transition of developmental processes from local to regional and interregional levels of integrity of the ecologic-urban planning system − "population↔environment", the expansion of its spatial boundaries and peculiar "compression" of temporary ones occur that is manifested by intermittent increase in the radius of city's influence area-the center of system of settlement expressed in kilometers. For analysis of processes of multi-level development of ecologic-urban planning systems, the dynamics of indices of development is not as much important as characteristics of their accelerations.

В статті викладено результати аналізу закордонного та вітчизняного (зокрема, на прикладі міста Києва) досвіду відновлення і реконструкції застарілого житлового фонду сучасних міст  та міської забудови, зруйнованої в ході бойових дій під час ІІ Світової війни (досвід Лондона та Берліна). Систематизовано напрацьовані методи реконструкції житлових і громадських будівель та міської забудови, які можуть бути застосовані в процесі підготовки та реалізації програм комплексного відновлення українських міст, що зазнали урбіциду та постраждали в ході повномасштабної агресії Росії, розпочатої у 2022 році.

This work highlights the results of studies of environmental laws of development of urban systems that determine the cause of waste accumulation. It was disclosed that environmental pollution is an ultimative environmental factor that increases its pressure on humanity and sign of imbalance of ecological system.

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