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Оптимальное и гарантирующее управления нелинейными объектами
С. 34-36.
The method of synthesis of optimal control problem in differential games for a class of nonlinear systems that can be represented in an equivalent form in the form of systems with parameters depending on the state . Search optimal controls implemented solution matrix algebraic nonlinear equations , which can be done at a pace functioning dynamic object. An example of the synthesis of optimal control for nonlinear second-order object and simulation results management process such an object. Comparison of the results and guaranteeing optimal controls.
In book
М. : Институт проблем управления им. В.А. Трапезникова РАН, 2012
M. : -, 2012
Proceedings include extended abstracts of reports presented at the III International Conference on Optimization Methods and Applications “Optimization and application” (OPTIMA-2012) held in Costa da Caparica, Portugal, September 23—30, 2012. ...
Added: December 20, 2012
St. Petersburg : -, 2013
Nowadays, production control problems has been widely studied and a lot of valuable approaches have been implemented. Some work addresses the problem of tracking the uncertain demand in case of uncertain production speeds. The uncertainties are described by deterministic inequalities and the performance is analyzed in from of the worst-case scenario. First, simple mathematical models ...
Added: September 23, 2013
Afanasiev V., В кн. : Труды IX Международной конференции «Идентификация систем и задачи управления» SICPRO ‘12 Москва 30 января - 2 февраля 2012 г. : М. : Институт проблем управления им. В.А. Трапезникова РАН, 2012. С. 40-52.
Задача управления нелинейным объектом, подвергающимся воздействию неконтролируемых возмущений, рассматривается в ключе дифференциальной игры. Синтез оптимальных управлений производится с применением координатного преобразования нелинейного уравнения исходного объекта в дифференциальное уравнение с параметрами, зависящими от состояния. Квадратичный функционал качества позволяет сформулировать условия синтеза в виде необходимости поиска решений уравнения Риккати. Решение уравнения Риккати с параметрами, зависящими от состояния, ...
Added: December 3, 2012
Afanasiev V., Известия РАН. Теория и системы управления 2011 Т. 9 № 1 С. 24-31
Quite many engineering problems, problems from ecology, medicine, and social sciences are characterized by the presence of factors bringing uncertainty into the corresponding control systems. Additional difficulties for control action construction arise in the case when the objects are described by nonlinear highorder evolutionary equations. An important subset of these objects consists of the object ...
Added: April 13, 2012
Zotov M., Автоматика и телемеханика 2010 № 11 С. 149-158
Robust stability test is formulated and the methodology of its use in the robust control system design is presented. The paper makes a contribution to the existing approaches to solution of this class of problems. ...
Added: December 14, 2012
Bykadorov I., Ellero A., Moretti E., , in : Rendiconti per gli Studi Economici quantitativi 2000. : Venice : Università Ca’Foscari di Venezia, Dipartimento di Matematica Applicata, 2001. P. 25-39 .
We consider a monopolistic firm that sells seasonal goods. The firm seeks the minimum of the total advertising expenditure during the selling period, given that some previously defined levels of goodwill and sales have to be reached at the end of the period. The only control allowed is on advertising while goodwill and sales levels ...
Added: November 19, 2013
M. : [б.и.], 2018
Book include abstracts of reports presented at the IX International Conference on Optimization Methods and Applications "Optimization and applications" (OPTIMA-2018) held in Petrovac, Montenegro, October 1 - October 5, 2018. ...
Added: October 9, 2018
Lazarev A. A., Журнал вычислительной математики и математической физики 2007 Т. 47 № 6 С. 1087-1099
The classical NP-hard (in the ordinary sense) problem of scheduling jobs in order to minimize the total tardiness for a single machine 1‖ΣT j is considered. An NP-hard instance of the problem is completely analyzed. A procedure for partitioning the initial set of jobs into subsets is proposed. Algorithms are constructed for finding ...
Added: November 23, 2012
Afanasiev V., Автоматика и телемеханика 2011 № 4 С. 43-56
The theoretical fundamentals for solving the linear quadratic problems may be some times used to design the optimal control actions for the nonlinear systems. The method relying on the Riccati equation with state-dependent coefficients is promising and rapidly developing tools for design of the nonlinear controllers. The set of possible suboptimal solutions is generated by ...
Added: April 13, 2012
Kashtanov V., , in : Analytical and computational methods in probability theory and its applications (ACMPT-2017). Proceedings of the International Scientific Conference. : M. : RUDN, 2017. P. 26-30.
The functionals constructed on trajectories of the controlled semi- Markov process with a finite set of states are investigated. Theorems of functionals’ structure (dependences on the probability measures defining the Markov homogeneous randomized strategy of control) and of structure of probability measures on which the extremum of these functionals is reached, are formulated. Examples are ...
Added: December 17, 2017
Kapalin V. I., Шаповалова Н. Е., Промышленные АСУ и контроллеры 2012 № 10 С. 14-17
An algorithm for the design of linear regulators for nonlinear control objects is suggested. The algorithm is based on interpolation technique and state-space method. An example of the suggested design method in MATLAB is given ...
Added: November 29, 2015
Gafarov E., Lazarev A. A., Werner F., Mathematical Social Sciences 2011 No. 62 P. 7-13
We consider single machine scheduling problems with a non-renewable resource. These types of problems have not been intensively investigated in the literature so far. For several problems of these types with standard objective functions (namely the minimization of makespan, total tardiness, number of tardy jobs, total completion time and maximum lateness), we present some complexity ...
Added: November 24, 2012
Yu. B. Grishunina, Automation and Remote Control 2015 Vol. 76 No. 3 P. 433-445
Consideration was given to optimization of the queue control strategy in the MlGl1l queuing system where decision about continuing or stopping admission of customers is made at the service completion instants of each customer in compliance with the distribution on the set of decisions depending on the number of customers remaining in the system. The ...
Added: March 18, 2015
[б.и.], 2017
This volume contains proceedings of the 8th International Conference ”Optimization and Applications” (OPTIMA-2017) that was held in Petrovac, Montenegro, during October 2-7, 2017. The Conference brought together researchers and practitioners working in the field of optimization theory, methods, software and related areas. Optimization is now a rapidly growing area in computer science. It is widely ...
Added: November 14, 2017
Gafarov E., Lazarev A. A., Information Processing Letters 2012 Т. 112 № 3 С. 72-76
In this note, we consider a single machine scheduling problem with generalized total tardiness objective function.
A pseudo-polynomial time solution algorithm is proposed for a special case of this problem. Moreover, we present a new
graphical algorithm for another special case, which corresponds to the classical problem of minimizing the weighted number
of tardy jobs on a single ...
Added: November 24, 2012
Lancaster : DEStech Publications,Inc., 2018
This volume contains refereed proceedings of the IX International Conference Optimization and Applications (OPTIMA 2018) held in Petrovac, Montenegro, October 1–5, 2018. The previous conferences during 2009–2017 years attracted a significant number of students, researchers, academics, and engineers working in the field of optimization theory, methods, software, and related areas. The Conference was organized by ...
Added: June 5, 2019
Gafarov E., Lazarev A. A., Werner F., Annals of Operations Research 2012 Vol. 196 No. 1 P. 247-261
We consider the problem of maximizing total tardiness on a single machine, where the first job starts at time zero and idle times between the processing of jobs are not allowed.We present a modification of an exact pseudo-polynomial algorithm based on a graphical approach, which has a polynomial running time. This result settles the complexity ...
Added: November 24, 2012
Subochev A., / Высшая школа экономики. Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2008. No. 3.
Twelve sets, proposed as social choice solution concepts, are compared: the core, five versions of the uncovered set, two versions of the minimal weakly stable sets, the uncaptured set, the untrapped set, the minimal undominated set (strong top cycle) and the minimal dominant set (weak top cycle). The main results presented are the following. A ...
Added: December 26, 2012
Afanasiev V., , in : ICNPAA 2012 World Congress: 9-th International Conference on Mathematical Problem in Engineering, Aerospace and Science. Vol. 1493.: NY : American Institute of Physics, 2012. P. 13-20.
An optimal control problem is formulated for a class of nonlinear systems for which there exists a coordinate representation transforming the original system into a system with a linear main part and a nonlinear feedback. In this case the coordinate transformation significantly changes the form of original quadratic functional. The penalty matrices become dependent on ...
Added: December 3, 2012
М. : ИПУ РАН, 2012
В сборнике представлены труды конференции с международным участием «ТЕХНИЧЕСКИЕ И ПРОГРАММНЫЕ СРЕДСТВА СИСТЕМ УПРАВЛЕНИЯ, КОНТРОЛЯ И ИЗМЕРЕНИЯ» УКИ`12 по следующим направлениям:
Научная тематика
1. Теория, методы исследования и проектирования, опыт применения технических средств (от датчиков до исполнительных механизмов), основанных на различных физических и схемотехнических принципах.
2. Теория, алгоритмы и программное обеспечение систем УКИ.
3. Анализ состояния, тенденций и перспектив ...
Added: December 29, 2012
Veretennikova M., Kolokoltsov V., Journal of Applied Nonlinear Dynamics 2017 Vol. 6 No. 1 P. 45-56
In this paper we initiate the rigorous analysis of controlled Continuous Time Random Walks (CTRWs) and their scaling limits, which paves the way to the real application of the research on CTRWs, anomalous diffusion and related processes. For the first time convergence is proven for payoff functions for controlled scaled CTRWs and their position dependent ...
Added: October 5, 2016
Zotov M., Известия РАН. Теория и системы управления 2012 № 4 С. 3-13
A plant can typically operate in normal and emergency modes. A method of correcting the controller that is optimal in normal mode so as to make it operate satisfactorily in the emergency mode is de-scribed. The available approaches to the solution of this class of problems (see [1–4]) are elaborated. In distinction from the solution ...
Added: December 14, 2012
М. : МАКС Пресс, 2017
The collection represents proceedings of the XVIII international conference “Problems of Theoretical Cybernetics” (Penza, 19–23 June, 2017), that is sponsored by Russian Foundation for Basic Research (project N 17-01-20217-г). The conference subject area includes: control systems synthesis, complexity, reliability, and diagnostics; automata; computer languages and programming; graph theory; combinatorics; coding theory; theory of pattern recognition; ...
Added: August 25, 2017
Trautmann P., Vexler B., Zlotnik A., / Cornell University. Series "Working papers by Cornell University". 2017. No. 1702.00362.
This work is concerned with the optimal control problems governed by the 1D wave equation with variable coefficients and the control spaces $\mathcal M_T$ of either measure-valued functions $L^2(I,\mathcal M(\Omega))$
or vector measures $\mathcal M(\Omega,L^2(I))$. The cost functional involves the standard quadratic terms and the regularization term $\alpha\|u\|_{\mathcal M_T}$, $\alpha>0$. We construct and study three-level in time bilinear ...
Added: February 2, 2017