The paper is devoted to H-optimization problems for linear time invariant(LTI) systems with scalar control, external disturbance and measurement noise. All these problems can be numerically solved with the help of the...
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The paper is devoted to H-optimization problems for linear time invariant(LTI) systems with scalar control, external disturbance and measurement noise. All these problems can be numerically solved with the help of the well-known universal approaches based on Riccati equations, linear matrix inequalities(LMI) or maximum entropy technique. Nevertheless, in our opinion there exists a possibility to increase the computational efficiency of synthesis using a special spectral approach to the above mentioned problems in frequency domain. Some relevant details are discussed and efficient numerical algorithms are proposed for the practical implementation of spectral approach. One of its virtues is a possibility to present optimal solutions in a specific form, which is convenient for investigation.
We consider a model of network formation as a stochastic game with random duration proposed initially in Sun and Parilina(Autom Remote control 82(6):1065–1082,2021).In the model,the leader first suggests a joint proj...
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We consider a model of network formation as a stochastic game with random duration proposed initially in Sun and Parilina(Autom Remote control 82(6):1065–1082,2021).In the model,the leader first suggests a joint project to other players,i.e.,the network connecting ***,the players are allowed to form fresh links with each other updating the initially proposed *** stage payoff of any player is defined depending on the network *** are two types of randomness in the network formation process:(i)links may fail to be formed with different probabilities although players intend to establish them,(ii)the game process may terminate at any stage or transit to the next stage with a certain probability ***,a network is formed as a result of players’decisions and realization of random *** cooperative version of the stochastic game is *** particular,we examine the properties of subgame consistency as well as strong subgame consistency of the *** provide a payment mechanism or regularization of the core elements to sustain its subgame consistency and avoid the player’s deviations from the cooperative *** addition,the distribution procedure of the core elements is regularized in case there are negative payments to achieve only nonnegative payments to the players at any *** sufficient condition of a strongly subgame consistent core is also *** illustrate our theoretical results with a numerical example.
This paper analyses two approaches to the description of thermodynamic evolution. The first approach describes the dynamics of a thermodynamic system by contact vector fields extended with inputs and outputs while the...
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The dynamic Shapley Value for N-person 2-stage minimum cost spanning tree game is considered. The cooperative behaviour of players is defined. Selecting strategies, players build a minimum cost spanning tree at each s...
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ISBN:
(纸本)9781509046584
The dynamic Shapley Value for N-person 2-stage minimum cost spanning tree game is considered. The cooperative behaviour of players is defined. Selecting strategies, players build a minimum cost spanning tree at each stage. The total cost consists of costs defined by minimal cost spanning tree and the lost values of perishable *** the second stage a particular player m may leave the game with probability p that depends on the previous behaviour of players. As optimality principle, the modified Shapley Value is proposed. Computation of the Shapley Value along different cooperative path scenarios shows its subgame inconsistency.
GUTTA is a small spherical tokamak (R = 16cm, a = 8cm, Ip = 150kA) operating at the St. Petersburg State University since 2004 in the scope of the IAEA CRP "Joint Research using Small Tokamaks". Main scienti...
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An iterative interval algorithm of a preliminary enclosing of the integral curve in the next step of an integration process is described. It is based on the well-known Cauchy-Duhamel identity. The conditions of the en...
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An iterative interval algorithm of a preliminary enclosing of the integral curve in the next step of an integration process is described. It is based on the well-known Cauchy-Duhamel identity. The conditions of the ending of the process are derived. The criterion of existence and uniqueness of the solution is discussed, too.
This article presents a task of the recovery of the spectral density of sea waves in the linear case. Creation of the onboard ship system giving the current information about sea state and weather forecast in the navi...
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A numerical procedure for the construction of Lyapunov matrices is proposed. It is shown that the matrices satisfy an auxiliary two-point boundary value problem for a special delay free system of matrix equations. Som...
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