Constrained optimal control theory for differential linear repetitive processes

Differential repetitive processes are a distinct class of continuous-discrete two-dimensional linear systems of both systems theoretic and applications interest. These processes complete a series of sweeps termed passes through a set of dynamics defined over a finite duration known as the pass length, and once the end is reached the process is reset to its starting position before the next pass begins. Moreover the output or pass profile produced on each pass explicitly contributes to the dynamics of the next one. Applications areas include iterative learning control and iterative solution algorithms, for classes of dynamic nonlinear optimal control problems based on the maximum principle, and the modeling of numerous industrial processes such as metal rolling, long-wall cutting, etc. In this paper we develop substantial new results on optimal control of these processes in the presence of constraints where the cost function and constraints are motivated by practical application of iterative learning control to robotic manipulators and other electromechanical systems. The analysis is based on generalizing the well-known maximum and $\epsilon$-maximum principles to the

Optimal control of non-stationary differential linear repetitive processes

Differential repetitive processes are a distinct class of continuousdiscrete 2D linear systems of both systems theoretic and applications interest. The feature which makes them distinct from other classes of such systems is the fact that information propagation in one of the two independent directions only occurs over a finite interval. Applications areas include iterative learning control and iterative solution algorithms for classes of dynamic nonlinear optimal control problems based on the maximum principle, and the modelling of numerous industrial processes such as metal rolling, and long-wall cutting etc. The new results in is paper solve a general optimal problem in the presence of non-stationary dynamics

Optimal control of wave linear repetitive processes

This paper gives new results on optimal control of the so-called wave discrete linear repetitive processes which find novel application in the modelling of physical examples. These processes have dynamics which are not restricted to the upper right quadrant of the 2D plane and hence the current control results for repetitive processes or 2D systems are not applicabl

Boundary control in distributed transportation networks

секция: Дифференциальные уравнения и их приложени

Моделирование характеристик ондуляторного излучения для параметров ускорителя LUCX@KEK

Differential linear repetitive processes are a class of continuous-discrete 2D systems of both systems theoretic and applications interest. The feature which makes them distinct from other classes of such systems is the fact that information propagation in one of the two independent directions only occurs over a finite interval. In this paper we develop an operator theory approach for the study of basic systems theoretic structural and control properties of these processes. In particular, we first develop a characterization of the range space of an operator generated by dynamics of the processes under consideration and use it to characterize a controllability property. Also we extend this operator setting to produce new results for a (again physically relevant) linear-quadratic optimization problem for these processes and the resulting optimal feedback control law.E

Malignant skin neoplasms in patients after kidney transplantation

Introduction. The widespread use of modern immunosuppressive therapy schemes has increased the duration of transplanted organ function. However, along with an increase in life expectancy, there is an elevation in malignant neoplasms in patients with a transplanted organ.Objective. To present own clinical experience in the treatment of patients with malignant skin neoplasms after kidney transplantation.Materials and methods. Four patients with malignant skin neoplasms were observed in our clinic from 2010 to 2017. Three of them developed Kaposi's sarcoma between 6 months and 6 years after kidney transplantation, and one was diagnosed with squamous-cell skin cancer 10 years after the operation.Results. After histological verification of Kaposi's sarcoma, excision of neoplasms was performed in two cases, followed by a decrease in the dosage of immunosuppressive drugs. In one case, a complete conversion of immunosuppressive therapy was performed. Stabilization of the oncological process was noted during therapy. However, subsequent deterioration in the function of the transplanted organ was recorded up to a complete loss of function in all patients, which led to the removal of the kidney. A patient with squamous-cell skin cancer underwent surgical treatment with a course of close-focus radiotherapy, but further progression led to a lethal outcome.Conclusion. Kidney transplant recipients receive lifelong immunosuppressive therapy and represent a high-risk group for developing skin malignancies and an increased risk of cancer mortality. Withdrawal of immunosuppressive drugs, i.e. calcineurin inhibitors, is still the main condition for the complete cure of patients with Kaposi's sarcoma but is accompanied by an extremely high probability of loss of function of the transplanted organ

Nephrolithiasis in related kidney donors

Introduction. Long-term results of renal transplantation from living donors are much better than the results of cadaveric transplantations. Recently, because of the shortage of living donors, some centers have started using kidneys from living donors with asymptomatic stones as a potential solution for the problem. However, the optimal surgical solution for such situations has not yet been developed.Aim. To evaluate our obtained transplantation results of using the kidneys from living donors with nephrolithiasis and compare them with the literature data.Material and methods. In the period from 2012-2021, renal transplantations in our clinic were done in three patients from related donors with stones in the kidney. One donor underwent mini-percutaneous lithotripsy one month prior to nephrectomy. The other two underwent simultaneous retrograde lithotripsy and laparoscopic donor nephrectomy. In these cases a holmium or thulium laser was used for the destruction of calculi. All donors underwent laparoscopic retroperitoneal nephrectomy.Results. All stones were successfully removed. There were no surgical complications in donors during and after procedures. Warm ischemia time did not exceed 3.5 minutes. The general length of hospital stay was 10 days in case of predonation stone removal surgery and 6 and 4 days in the cases of simultaneous procedures, respectively. All grafts were transplanted to related recipients. One of the recipients was treated with hemodialysis before transplantation, the other one with peritoneal dialysis. The third recipient underwent preemptive transplantation (before the start of dialysis). The graft function in all cases was immediate. During the follow-up period (9-57 months), no signs of nephrolithiasis were seen in either donors, or recipients.Conclusions. Consideration of potential donors with stones in one kidney might increase the number of living donor renal transplantation. Simultaneous RIRS and laparoscopic donor nephrectomy can be considered as an alternative to sequential operations or ex vivo stone extraction. The presented technique is reproducible, safe and was not associated with an increased length of hospital stay

ЗАДАЧИ УПРАВЛЕНИЯ МНОГООБЪЕКТНЫМИ СИСТЕМАМИ БЕСПИЛОТНЫХ ЛЕТАТЕЛЬНЫХ АППАРАТОВ И ПУТИ ИХ РЕШЕНИЯ

Some problems arising in the construction of control systems for groups of unmanned aerial vehicles were analysed. Possible solutions are considered.Проведен обзор некоторых задач, возникающих при построении систем управления группами беспилотных летательных аппаратов (БПЛА). Рассмотрены возможные пути решения

МАТЕМАТИЧЕСКИЕ МОДЕЛИ И АЛГОРИТМЫ УПРАВЛЕНИЯ МНОГООБЪЕКТНЫМИ СИСТЕМАМИ

The linear position control algorithms for multi-agent systems are described. The algorithms use a minimum of prior information and spread of these algorithms to the multidimensional case. The methods take into account the external impacts.Описаны линейные алгоритмы управления положением для многообъектной системы. Алгоритмы используют минимум априорной информации и распространены на многомерные случаи. Исследуются методы, учитывающие внешние воздействия

РЕШЕНИЕ ТРАНСПОРТНОЙ ЗАДАЧИ ДЛЯ МНОГООБЪЕКТНОЙ СИСТЕМЫ БЕСПИЛОТНЫХ АППАРАТОВ

The solution of transportation problem for unmanned multiobject systems is described. The factor for calculating of the cost matrix taking into account the specifics of multi-object systems of unmanned vehicles is chosen.Приведено решение транспортной задачи для многообъектной системы методом потенциалов. Выбран фактор для расчета матрицы стоимости с учетом специфики многообъектных систем беспилотных аппаратов