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Tkhai V.N.,RAS Trapeznikov Institute of Control Sciences
Automation and Remote Control | Year: 2013

Consideration was given to the model with coupled subsystems. In the absence of relations between the subsystems, the MIS falls down into independent systems of autonomous ordinary differential equations. In the structure of the entire system, the subsystems make up hierarchical levels. Sun-planets- satellites, interacting moving objects, and so on exemplify the models with coupled subsystems. The problem of studying dynamics of such models was posed. The following natural approach to their analysis was proposed: classification of the subsystems by types (dynamic properties), specification of various bundles of subsystems, and subsequent analysis of these bundles. Realization of the approach to oscillations, stability, stabilization, bifurcation, and resonance was given. These problems were solved for the model with coupled subsystems having two second-kind subsystems in the basic combination of the oscillation modes in the subsystem. © 2013 Pleiades Publishing, Ltd.


Breer V.V.,RAS Trapeznikov Institute of Control Sciences
Automation and Remote Control | Year: 2012

In this paper, game-theoretic models of social interaction with binary actions of agents are considered. The phenomena of conformity and anti-conformity are briefly analyzed, and a game-theoretic model reflecting them is constructed. In addition, the general game-theoretic model of collective conformity behavior, the model with mutual dominance of agents, the model with reputation, and the model with identical agents are studied. The structure of Nash equilibria and corresponding methods of its evaluation are described for the above-mentioned models. © Pleiades Publishing, Ltd., 2012.


Bagdasaryan A.,RAS Trapeznikov Institute of Control Sciences
Simulation Modelling Practice and Theory | Year: 2011

The method for dynamic model synthesis and discrete simulation of complex hierarchical control systems is presented. The method provides integration of large data sets, monitoring data and expert knowledge with the process of simulation and analysis of system state dynamics, thus providing an extensible and evolvable environment and reuse of knowledge and simulation models. The method is based on the hierarchical state diagrams technique and control scenarios methodology. The general structure of corresponding computer simulation system is also proposed. We also outline general principles of computer realization of our simulation approach, and schemes of model-based knowledge representation. The proposed method is based on the object-oriented paradigm and is especially powerful in information-intensive environments. © 2010 Elsevier B.V. All rights reserved.


Novikov D.A.,RAS Trapeznikov Institute of Control Sciences
Automation and Remote Control | Year: 2012

The paper surveys the main theoretical and experimental approaches to modeling and research of strategic behavior in the game theory and the theory of collective behavior. © 2012 Pleiades Publishing, Ltd.


Breer V.V.,RAS Trapeznikov Institute of Control Sciences
Automation and Remote Control | Year: 2012

We consider a certain game-theoretic model of non-anonymous threshold conformity behavior over binary action sets of the players. For a given player, non-anonymity implies different level of confidence in the neighbors. The notions of conformity and autonomy are briefly analyzed; the corresponding game-theoretic threshold model is built to describe counteraction of these phenomena. Nash equilibria characterizing the conformity behavior are derived. Finally, characteristic conditions of the Nash equilibria are studied, and structure of the equilibria is described. © Pleiades Publishing, Ltd., 2012.


Pesterev A.V.,RAS Trapeznikov Institute of Control Sciences
Automation and Remote Control | Year: 2012

The synthesis control problem for the plane motion of a wheeled robot with constrained control resource is studied. The goal of the control is to bring the robot to an assigned curvilinear trajectory and to stabilize its motion along it. A new change of variable is suggested that reduces the problem of stabilizing robot's motion to that of stabilizing the zero solution in the form that admits feedback linearization. A control law stabilizing robot's motion along an arbitrary curvilinear target trajectory is synthesized. For a straight target path, the closed-loop system is shown to be asymptotically stable for any initial conditions except for the case where the initial direction of motion is perpendicular to the target path. © Pleiades Publishing, Ltd., 2012.


Zhilyakova L.Yu.,RAS Trapeznikov Institute of Control Sciences
Automation and Remote Control | Year: 2012

We study stabilization processes in resource networks with arbitrary topology for large values of the resource, when certain vertices accumulate the resource, and resource in these vertices exceeds output bandwidth. We introduce the notion of flow in a network and study monotone and nonmonotone flows. We prove existence and uniqueness for the limit flow and, as a corollary, of the limit state. We introduce the notion of a potential attractor and study networks with one and several attractors. We show that in networks with several potential attractors, in case of large resources the limit state depends on the initial state. © Pleiades Publishing, Ltd., 2012.


Tkhai V.N.,RAS Trapeznikov Institute of Control Sciences
Automation and Remote Control | Year: 2015

Consideration was given to the model containing coupled subsystems (MCCS). With no connection between the subsystems, the MCCS falls down into independent subsystems, that is, systems of autonomous ordinary differential equations. MCCS with cycles in the subsystems were examined. For the autonomous MCCS, conditions were established for cycles and their stability, and a cycle stabilization by the control explicitly independent of time was proposed. For the periodic MCCS, generation of isolated periodic solutions was proved, and the problem of their stability and stabilization was solved. © 2015, Pleiades Publishing, Ltd.


Tkhai V.N.,RAS Trapeznikov Institute of Control Sciences
Automation and Remote Control | Year: 2015

Consideration was given to the model containing coupled subsystems (MCCS). In the absence of coupling, MCCS falls down into independent subsystems represented by autonomous ordinary differential equations (ODE). In the structure of the entire system its subsystems make up hierarchical levels. The autonomous MCCS was studied. The “cycle or family of periodic motions” alternative was shown to be always realized by an individual system in a nondegenerate situation. For the main mode of oscillations, a scenario was given for bifurcation of the family of all families of periodic solutions arising with generation of the MCCS cycles. Consideration was given to stability of cycles, and the problem of their stabilization was solved. © 2015, Pleiades Publishing, Ltd.


Yadykin I.B.,RAS Trapeznikov Institute of Control Sciences
IFAC Proceedings Volumes (IFAC-PapersOnline) | Year: 2010

A new approach to the controllability and observability properties, based on controllability and observability matrices links, is considered. The approach is based on matrices A, Am integrals expansion Lemma and properties of the matrices function convolution in complex plane. Coefficients of characteristic equations and Faddeev's matrices in the resolvent expansion of the system dynamic matrix play a dominant role in matrices integrals expansion forming. The gramians expansion on dynamic system matrix spectrum provide a new notion for the solutions of the Lyapunov and Sylvester equations. The results are illustrated by the example for two-zones furnace control. © 2010 IFAC.

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