(Russian Academy of Sciences), Svetlana V. Cheremnykh (Moscow State Linguistic University)

The paper considers the iterative improvement algorithms, the efficiency of which substantially depends on the chosen parameters values. The problem of control of these parameters is formulated and discussed. We designed the modified algorithms where parameters are automatically adjusted at each iteration. The original and modified algorithms are applied to solve the problem of optimal control for the ecology-economic system.

A two-sided method for calculation of the dynamic distributed-parameter systems with regard for the error of the reference data was proposed and substantiated using the variational principle of ‘Lagrange. Calculation of the temperature fields with due regard for the phase transformations and errors in the parameters and characteristics was considered by way of an example. A relevant finite-difference method and computer programs for modeling the thermal physical processes of substance melting an...

Consideration was given to using theoretical constructs of the decision making theory for analysis of the outlooks for development of the state-business partnership in the large Russian industry and infrastructure. The possibilities of formal description of the conceptual situation of the economic state-business partnership corresponding to the legal foundations the statebusiness were examined. Attention was mostly paid to the mechanisms for coordinations of the interests of state and business.

This paper briefly considers solutions of primary statements of problem of anisotropic analysis of time-invariant systems and problems of synthesis of suboptimal and γ-optimal anisotropic controllers and filters for the time-invariant systems. Numerical procedures for finding the respective solutions are described. To demonstrate the efficiency of the proposed algorithms, illustrative numerical examples are given.

Consideration was given to the problem of development control in the interestmotivated systems. Carried out was structural analysis underlying the control methodology with the structure of Markov process of collective decisions. Formulated were the principles and axiomatics of the collective decisions, conditions for compromise solvability, problem formulations, and conditions for stability of the controlled development process.

Consideration was given to the optimal control of discrete stochastic systems by the probabilistic quality criterion. The new characteristics of the Bellman equation for this class of problems were examined, and the two-sided estimate of the Bellman function was determined. The problem of optimal control of the security portfolio with one riskless and a given number of risk assets was considered by way of example. The class of strategies featuring asymptotic optimality was established using the ...

(Russian Academy of Sciences)+ 2 AuthorsL. Yu. Filimonyuk (Saratov State Technical University)

We develop models and algorithms to control the process of landing aircraft under uncertainty of their positions in space caused by unfavorable, unforeseen external influences. As the objective function we consider the execution time of the dispatcher’s commands, and as constraints we introduce requirements for the safety of aircraft. Based on the developed formalism of generalized synchronization of linear automata, we develop an approach that makes it possible to reduce this problem to an inte...

(Nizhny Novgorod State Technical University)+ 2 AuthorsEric Rogers34

Estimated H-index: 34

(University of Southampton)

The paper considers nonlinear discrete and differential stochastic repetitive processes using the state-space model setting. These processes are a special case of 2D systems that originate from the modeling of physical processes. Using the vector Lyapunov function method, sufficient conditions for stability in the mean square are obtained in the stochastic setting, where the vast majority of the currently known results are for deterministic dynamics. Based on these results, the property of stoch...

For a controlled stochastic diffusion system, we obtain sufficient conditions for the terminal criterion to be constant with probability one on the assumption of fixed initial state (invariance in perturbations) and sufficient conditions for the terminal criterion to be independent with probability one both from the realization of the random process and the initial conditions (absolute invariance).

(Russian Academy of Sciences), Sergei M. Nikishov (Russian Academy of Sciences)

This paper considers the safety problem for a group of target objects receiving energy or resources from a network infrastructure under a negative influence on its components that violates the links between the objects and the sources of energy or resources. We describe the well-known solution approaches for the network stability problems. In addition, we analyze the specifics of the search problem for the failed network components that violate the functionality of the target objects, also sugge...