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The use of Internet of Things programs in various fields of activity testifies the reset of the human lifestyle. Climate change and limited access to natural resources are factors for shaping the environmental behavior of energy consumers. Ensuring the development of Smart specialization and innovation in the energy sector provides the transformation of a set of competencies and skills, the organization of the workspace based on digitalization, as well as the increasing role of continuous personnel training at energy enterprises.

Accordingly, innovative solutions aimed at improving sales should receive a response to gross sales revenue. The management mathematical dynamic models proposed in the work scientifically substantiate the decisions made and allow predicting the influence of the system of innovative development factors and physiological working conditions of employees on the financial condition of the enterprise.

This paper takes into account scientific approaches to mathematical modeling usage of interval data analysis to develop and improve the innovation management system due to effective innovative solutions related to the sale of energy resources and services including physiological working conditions of employees. The research outlines the tools for implementing the strategy of energy companies’ innovative development based on dynamic interval management models of enterprises innovative development, which substantiate management decisions and correlates physiological working conditions of employees. As a result, all these factors make it possible to predict the impact of a system of innovative development factors on the enterprise financial condition. Construction methods of an integrated indicator level combined with workers physiological conditions of energy enterprises innovative development have been used and provided on the optimization of the factor space that creates the company's innovation policy and takes into account its causal links, human factor, physical level of readiness. The article results allowed its usage for modeling the impact of innovation level on the financial performance of energy companies as well as a study of the state of innovative development of energy enterprises in the region. The mathematical modeling has been used to build such a tool for managing the innovative development of energy market enterprises. One of the most effective approaches to modeling the dynamics of economic processes is the set-theoretic approach accompanied with physical level of employee. Within this approach, the models contain parameters and variables represented as sets of guaranteed or acceptable values, or as fuzzy sets with known matching functions.  The paper determines that the advantage of this approach is that it does not require large samples of data (time series) to obtain adequate models, and preliminary study of statistical characteristics of data, such as the law of data distribution and others. The interval models, which describe indicators of economic processes in intervals of possible values or functional corridors, have been chosen as one type of models. It has been proposed to choose gross income as an indicator of the financial condition of energy market enterprises, because the activities of energy companies are essentially the sale of energy resources and services. Accordingly, innovative solutions aimed at improving sales should receive a response to gross sales revenue.  The management mathematical dynamic models proposed in the work scientifically substantiate the decisions made and allow predicting the influence of the system of innovative development factors and physiological working conditions of employees on the financial condition of the enterprise. Este documento tiene en cuenta los enfoques científicos para el uso de modelos matemáticos del análisis de datos de intervalo para desarrollar y mejorar el sistema de gestión de la innovación debido a soluciones innovadoras efectivas relacionadas con la venta de recursos y servicios energéticos, incluidas las condiciones fisiológicas de trabajo de los empleados. La investigación describe las herramientas para implementar la estrategia de desarrollo innovador de las empresas energéticas basada en modelos de gestión de intervalo dinámico de desarrollo innovador de empresas, que fundamentan las decisiones de gestión y correlacionan las condiciones fisiológicas de trabajo de los empleados. Como resultado, todos estos factores permiten predecir el impacto de un sistema de factores de desarrollo innovadores en la situación financiera de la empresa. Se han utilizado métodos de construcción de un nivel de indicador integrado combinado con las condiciones fisiológicas de los trabajadores de las empresas de energía, el desarrollo innovador se ha proporcionado sobre la optimización del espacio de factores que crea la política de innovación de la empresa y tiene en cuenta sus vínculos causales, factor humano, nivel físico de preparación . Los resultados del artículo permitieron su uso para modelar el impacto del nivel de innovación en el desempeño financiero de las empresas de energía, así como un estudio del estado del desarrollo innovador de las empresas de energía en la región. El modelo matemático se ha utilizado para construir una herramienta de este tipo para gestionar el desarrollo innovador de las empresas del mercado energético. Uno de los enfoques más efectivos para modelar la dinámica de los procesos económicos es el enfoque de teoría de conjuntos acompañado del nivel físico del empleado. Dentro de este enfoque, los modelos contienen parámetros y variables representados como conjuntos de valores garantizados o aceptables, o como conjuntos difusos con funciones de coincidencia conocidas. El artículo determina que la ventaja de este enfoque es que no requiere grandes muestras de datos (series de tiempo) para obtener modelos adecuados, y estudio preliminar de las características estadísticas de los datos, como la ley de distribución de datos y otros. Los modelos de intervalo, que describen indicadores de procesos económicos en intervalos de valores posibles o corredores funcionales, se han elegido como un tipo de modelos. Se ha propuesto elegir los ingresos brutos como indicador de la situación financiera de las empresas del mercado energético, porque las actividades de las empresas energéticas son fundamentalmente la venta de recursos y servicios energéticos. En consecuencia, las soluciones innovadoras destinadas a mejorar las ventas deberían recibir una respuesta a los ingresos brutos por ventas. Los modelos dinámicos matemáticos de gestión propuestos en el trabajo sustentan científicamente las decisiones tomadas y permiten predecir la influencia del sistema de factores de desarrollo innovadores y las condiciones fisiológicas de trabajo de los empleados sobre la situación financiera de la empresa.

This paper takes into account scientific approaches to mathematical modeling usage of interval data analysis to develop and improve the innovation management system due to effective innovative solutions related to the sale of energy resources and services including physiological working conditions of employees. The research outlines the tools for implementing the strategy of energy companies' innovative development based on dynamic interval management models of enterprises innovative development, which substantiate management decisions and correlates physiological working conditions of employees. As a result, all these factors make it possible to predict the impact of a system of innovative development factors on the enterprise financial condition. Construction methods of an integrated indicator level combined with workers physiological conditions of energy enterprises innovative development have been used and provided on the optimization of the factor space that creates the company's innovation policy and takes into account its causal links, human factor, physical level of readiness. The article results allowed its usage for modeling the impact of innovation level on the financial performance of energy companies as well as a study of the state of innovative development of energy enterprises in the region. The mathematical modeling has been used to build such a tool for managing the innovative development of energy market enterprises. One of the most effective approaches to modeling the dynamics of economic processes is the set-theoretic approach accompanied with physical level of employee. Within this approach, the models contain parameters and variables represented as sets of guaranteed or acceptable values, or as fuzzy sets with known matching functions. The paper determines that the advantage of this approach is that it does not require large samples of data (time series) to obtain adequate models, and preliminary study of statistical characteristics of data, such as the law of data distribution and others. The interval models, which describe indicators of economic processes in intervals of possible values or functional corridors, have been chosen as one type of models. It has been proposed to choose gross income as an indicator of the financial condition of energy market enterprises, because the activities of energy companies are essentially the sale of energy resources and services. Accordingly, innovative solutions aimed at improving sales should receive a response to gross sales revenue. The management mathematical dynamic models proposed in the work scientifically substantiate the decisions made and allow predicting the influence of the system of innovative development factors and physiological working conditions of employees on the financial condition of the enterprise.

The use of Internet of Things programs in various fields of activity testifies the reset of the human lifestyle. Climate change and limited access to natural resources are factors for shaping the environmental behavior of energy consumers. Ensuring the development of Smart specialization and innovation in the energy sector provides the transformation of a set of competencies and skills, the organization of the workspace based on digitalization, as well as the increasing role of continuous personnel training at energy enterprises. Considering this, the article is devoted to the development of a system of innovative human capital management of energy enterprises in the context of environmental behavior formation of consumers of green energy based on the work of Smart Grids, the solution of the issue of identification and the formation of appropriate digital competencies to optimize the process of marketing promotion of green energy services in the virtual space. For this, the role of human capital formation in the innovative development of an energy enterprise and the approval of the foundations for organizing a virtual socio-economic space based on the work of smart grids.The relationship between the formation of environmental behavior of consumers of green energy and the need to develop digital competencies of employees of energy enterprises has been proved. The level of the use of innovative technologies for the development of personnel in the field of energy has been investigated and a set of digital competencies necessary for the development of the industry in the conditions of the formation of environmental behavior of consumers of green energy based on the operation of Smart Grids has been established. The analysis of the dynamics of the use of computers, computer networks, and social media at Ukrainian enterprises by types of economic activity indicates an increase in the level of use of social media and mobile networks. The algorithm for managing the human capital of energy enterprises in the virtual space has been optimized for the formation of digital competencies based on the work of Smart Grids, which will contribute to ensuring the transition to an increase in the consumption of green energy. El uso de programas de Internet de las cosas en varios campos de actividad atestigua el restablecimiento del estilo de vida humano. El cambio climático y el acceso limitado a los recursos naturales son factores que configuran el comportamiento medioambiental de los consumidores de energía. Asegurar el desarrollo de la especialización e innovación inteligente en el sector energético proporciona la transformación de un conjunto de competencias y habilidades, la organización del espacio de trabajo basada en la digitalización, así como el papel cada vez mayor de la formación continua del personal en las empresas energéticas. Teniendo esto en cuenta, el artículo está dedicado al desarrollo de un sistema de gestión del capital humano innovador de las empresas energéticas en el contexto de la formación del comportamiento ambiental de los consumidores de energía verde basado en el trabajo de las Smart Grids, la solución del problema de identificación y la Formación de competencias digitales adecuadas para optimizar el proceso de promoción de marketing de servicios de energía verde en el espacio virtual. Para ello, el papel de la formación de capital humano en el desarrollo innovador de una empresa energética y la aprobación de las bases para la organización de un espacio socio-económico virtual basado en el trabajo de las redes inteligentes. Se ha demostrado la energía verde y la necesidad de desarrollar las competencias digitales de los empleados de las empresas energéticas. Se ha investigado el nivel de uso de tecnologías innovadoras para el desarrollo de personal en el campo de la energía y se ha investigado un conjunto de competencias digitales necesarias para el desarrollo de la industria en las condiciones de formación del comportamiento ambiental de los consumidores de energía verde basado en Se ha establecido el funcionamiento de Smart Grids. El análisis de la dinámica del uso de computadoras, redes informáticas y redes sociales en las empresas ucranianas por tipo de actividad económica indica un aumento en el nivel de uso de las redes sociales y las redes móviles. El algoritmo de gestión del capital humano de las empresas energéticas en el espacio virtual ha sido optimizado para la formación de competencias digitales basadas en el trabajo de Smart Grids, lo que contribuirá a asegurar la transición hacia un incremento en el consumo de energía verde.