The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
The objects of the research are homogeneous bilinear control systems. The control synthesis problem of moving a bilinear system to the origin of coordinates in a finite time is considered. To solve this problem it is suggested to use an auxiliary linear system. It is known that the program control for the linear system that moves it to the origin can be represented in an equivalent form of positional...
Complex nonlinear control systems that are fundamentally non-linearizable (containing, for example, ambiguous nonlinearities), as a rule, can not be fully investigated analytically. On the other hand, the use of only computer technologies for their research often gives rise to doubts about the reliability of the results obtained. Therefore, methods based on the decomposition of the space of parameters...
In this article, we suggest a new concept of an optimal solution in 3-person game, that we call “coalitional equilibrium”. This equilibrium based on the concepts of Nash and Berge equilibria obtained. We apply the concept of an optimal solution that cannot increase the outcome of a deviant coalition. Then we determine sufficient conditions of existence of a coalitional equilibrium using the Germeier...
The dynamic Shapley Value for N-customers and M-suppliers in two-stage minimum cost spanning forest game is considered. Define the players' cooperative behavior. Selecting strategies, players build a minimum cost spanning forest at each stage. At second stage, there is a particular player x ∊ N may drop out of the game. The probability p of the player's leaving depends solely upon all players' behavior...
In this paper we investigate a possibility of the linear difference system stabilization with time proportional delay. Using the Razumikhin's approach [1] and method of difference transformations [2] we obtain the sufficient conditions of the asymptotic stability of the system. Then we construct of the stabilizing control and derive the sufficient conditions for the existence of such control.
In the article the game-theoretic model of limited resource extraction by competitive enterprises in terms of differential non-zero sum games is considered. The Nash equilibrium is found and the cooperative variant of the game investigated, the Shapley value constructed and its dynamic stability (time-consistency) investigated. As the results of this work were found the conditions on the input parameters...
At present, quadrocopters are widely used. Therefore, the problems of controlling quadrocopters in real operating conditions, including emergency modes, are of particular interest. This is due to various weather conditions, restrictions on the landing place (the presence of water surface and other obstacles). So the stabilization problem is considered in this paper. To stabilize the apparatus in three...
We present analytic solution of the stability problem for a ring being under central forces or external normal pressure with one-sided constraints on the displacements.
Mechanical systems with linear gyroscopic forces, nonlinear homogeneous dissipative forces and switched nonlinear nonhomogeneous positional forces are studied. Using the decomposition method, conditions are found providing the asymptotic stability of equilibrium positions of the considered systems for an arbitrary admissible switching law. On the basis of the obtained results, new approaches to stabilization...
In this paper, the problem of stability of solutions of a class of nonlinear switched difference systems is studied. It is assumed that the nonlinearities satisfy certain sector type constraints. Systems of this kind appear in the modeling of many real processes. In this paper, sufficient conditions for the asymptotic stability of the solutions of the above class of systems are derived. To obtain...
We study a problem of stable cooperation on a single-product market where firms are in competitive relationship. Firms compete in quantities, but the maximum quantity of the product to be produced by any firm is bounded which is common knowledge. We assume that firms may cooperate forming coalitions, and the firms belonging to the same coalition choose their quantities to maximize the joint profit...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.