The dynamical systems given by integro-differentiation models with K-symmetric K-positive-definite operator are considered. The variational-gradient method was applied to those models. The analysis showed that the implementation of this method does not require knowledge of the operator spectrum, in addition, it has a better convergence rate and is more resistant to disturbances than gradient methods. The theorem is proved in this paper, which allows us to draw conclusions about the effectiveness of the application of the variational-gradient method for the research of control problems. Investigation of an integro-differential model with a K-positive-definite K-symmetric operator using the variational-gradient method will increase the efficiency of information processing in the processes of control and research of dynamic systems. Application of the variationalgradient method to the control tasks will allow expanding the range of tasks under consideration. It is noted that the development of modern technologies entails an increase in the complexity of control objects, an increase in the quality requirements and the accuracy of control due to the increase in the cost of control error. This makes to be essential further development and improvement of methods that solve the problems of optimal control, for example, unmanned aerial vehicles. As the model example, the application of the variational-gradient method to the models of automated control systems for unmanned aerial vehicles is considered.
The features of application of the method of inverse problems of dynamics for the recovery control are considered. An expression for the controlling force is obtained as well as simulation for the stage of determining the controlling forces are carried out.
The paper represents the analysis of the main issues of system level self-diagnosis and explanation of its three basic problems. The main attention is paid to the problem of diagnosis which is expressed with the help of set theory. The influence of made assumptions concerning the allowable faulty sets on the diagnosis results is discussed with the help of simple example.
The article is devoted to the analysis of the possibility of applying the method of inverse problems of dynamics for the synthesis of a system of spatial stabilization of the motion of a dynamic object on an operatively programmable trajectory. The article proposes to apply the method of inverse problems of dynamics for the synthesis of a system for stabilizing the motion of a dynamic object on an operatively programmable trajectory. It is concluded that the procedure for applying the method of inverse problems of dynamics provides for the sequential execution of two procedures. The first procedure involves setting the desired trajectory of movement of a dynamic object and determining the vector of necessary control forces for the implementation of this trajectory of movement. The second procedure involves determining the control function (control deviations) to create such forces. In the development of the concepts of the algorithmic approach (inverse problems of dynamics), an analytical expression for the governing force is obtained. The proposed block diagram of the control algorithm can be used to synthesize control systems for complex dynamic objects, for example, remotely piloted aircraft. P (t) is n-dimensional vector of perturbations; X 0 is initial state; T = t T − t 0 is time of movement of the object.There are restrictions on the management and state of the object X(t) ∈ Q X ; U (t) ∈ Q U .
In the article the functional stability of complex systems are considered. Mathematical formalization of property of functional stability is presented. Promising directions of research in this area are also described.
ZAPEWNIENIE FUNKCJONALNEJ STABILNOŚCI ZŁOŻONYCH UKŁADÓW DYNAMICZNYCH JAKO JEDEN Z AKTUALNYCH PROBLEMÓW NAUKOWYCH NOWOCZESNEJ TEORII STEROWANIAStreszczenie. W artykule przedstawiono rozważania dotyczące funkcjonalnie stabilnych systemów złożonych. Przedstawiono matematyczną formalizację funkcjonalnej stabilności obiektu.. Opisano również najbardziej obiecujące obszary badań w tej dziedzinie.
The features of using the methods of remote sensing of the Earth to monitor the ecological and technical state of water technological systems are considered. The technology of conducting monitoring of surface waters according to Earth remote sensing data is proposed. The method of satellite monitoring of intensive algal blooms (monitoring of planktonic alga clusters) has been substantiated. An approach to the assessment of flood and flooding risks using satellite observation data is proposed. The technique of quantitative assessment of water quality according to the space monitoring of surface waters is substantiated. As a result of the research it was found that when assessing the complex effects of pollutants on the ecological state of aquatic ecosystems using aerospace technology, it is advisable to take into account changes in biological indicators (indicators of biomass and species composition of phytoplankton and higher aquatic plants). A method has been developed for predicting long-term risks of emergency situations of a hydrological and hydrometeorological nature based on physical and mathematical modeling and the use of satellite observations and spatially distributed data. The next stage of research will be the creation of predictive maps of the distribution of flood risks, flooding, degradation of surface water quality, and an assessment of the risks of air and soil pollution. Key words: aerospace technologies, water system, remote sensing of the Earth, ecological status of ecosystems, ecological risks, surface water, satellite monitoring, bloom of algae.Інноваційні підходи використання методів дистанційного зондування землі для моніторингу еколого-технічного стану водних екосистем. Машков О.А., Жукаускас С.В., Нігородова С.А., Косенко В.Р. Розглянуто особливості використання методів дистанційного зондування Землі для моніторингу еколого-технічного стану водних систем. Запропоновано технологію проведення моніторингу поверхневих вод за даними дистанційного зондування Землі. Обґрунтовано метод супутникового моніторингу інтенсивного цвітіння водоростей (моніторинг скупчень планктонних водоростей). Запропоновано підхід до оцінки ризиків повеней із використанням даних супутникових спостережень. Обґрунтовано методику кількісної оцінки якості води за даними космічного моніторингу поверхневих вод. Було встановлено, що для оцінки комплексного впливу забруднюючих речовин на екологічний стан водних екосистем із використанням аерокосмічних технологій доцільно враховувати зміни біологічних показників (показників біомаси та видового складу фітопланктону і вищих водних рослин). Розроблено метод прогнозування довгострокових ризиків надзвичайних ситуацій гідрологічного і гідрометеорологічного характеру на основі фізико-математичного моделювання та використання супутникових спостережень і просторово розподілених даних. Наступним етапом досліджень стане створення прогнозних карт розподілу ризиків повеней, повеней, погіршення якості поверхневих вод та оцінки ризиків забруднення повітря і ґрунту. Ключові слова: аерокосміч...
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.