We provide a distributed algorithm to learn a Nash equilibrium in a class of non-cooperative games with strongly monotone mappings and unconstrained action sets. Each player has access to her own smooth local cost fun...
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We provide a distributed algorithm to learn a Nash equilibrium in a class of non-cooperative games with strongly monotone mappings and unconstrained action sets. Each player has access to her own smooth local cost function and can communicate to her neighbors in some undirected graph. We consider a distributed communication-based gradient algorithm. For this procedure, we prove geometric convergence to a Nash equilibrium. In contrast to our previous works Tatarenko et al. (2018); Tatarenko et al. (2019), where the proposed algorithms required two parameters to be set up and the analysis was based on a so called augmented game mapping, the procedure in this work corresponds to a standard distributed gradient play and, thus, only one constant step size parameter needs to be chosen appropriately to guarantee fast convergence to a game solution. Moreover, we provide a rigorous comparison between the convergence rate of the proposed distributed gradient play and the rate of the GRANE algorithm presented in Tatarenko et al. (2019). It allows us to demonstrate that the distributed gradient play outperforms the GRANE in terms of convergence speed.
This paper deals with the problem of signals filtering using hybrid filters. Such solutions may prove to be especially beneficial in the context of biomedical signals filtering where the signals’ amplitudes are typic...
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ISBN:
(数字)9798331527563
ISBN:
(纸本)9798331527570
This paper deals with the problem of signals filtering using hybrid filters. Such solutions may prove to be especially beneficial in the context of biomedical signals filtering where the signals’ amplitudes are typically not very high and they can be easily affected by different kinds of disturbances. Having a number of different types of filters tuned for some specific purposes we will show how the best filter choice is affected by selecting one ML model over another.
This paper study a class of finite-time forward and backward stochastic difference equations (FBSDEs) with asymmetric information which means that there exists two kinds of conditional expectations with respect to two...
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ISBN:
(数字)9781728190938
ISBN:
(纸本)9781728190945
This paper study a class of finite-time forward and backward stochastic difference equations (FBSDEs) with asymmetric information which means that there exists two kinds of conditional expectations with respect to two different filterations. And the filterations are caused respectively by the additive noise and the measurement packet dropout. By establishing non-homogenous relationship between the backward stochastic process and the estimation of the forward stochastic process, we give the analytical solutions of the FBSDEs with asymmetric information.
In this paper, an event-triggered adaptive dynamic programming(ADP) algorithm is developed to solve optimal tracking control problems. The event-triggered control law will be updated only when the triggering condition...
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ISBN:
(纸本)9781728123295;9789881563972
In this paper, an event-triggered adaptive dynamic programming(ADP) algorithm is developed to solve optimal tracking control problems. The event-triggered control law will be updated only when the triggering conditions are ***, the computational cost can be reduced and the celerity of tracking can be improved. Compared to existing works,novel triggering conditions are designed in this paper. Besides, the stability is guaranteed with less assumption. Neural networks are used to implement the tracking control algorithm. Finally, an example is employed to show the effectiveness of the algorithm.
This paper investigates the velocity and altitude tracking control problem for airbreathing hypersonic vehicle(AHV)in the presence of external disturbances and parameter uncertainties.A composite controller containing...
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This paper investigates the velocity and altitude tracking control problem for airbreathing hypersonic vehicle(AHV)in the presence of external disturbances and parameter uncertainties.A composite controller containing improved lines cluster approaching mode control(LCAMC)and nonlinear disturbance observer(NDO)is developed to guarantee the tracking errors converge to zero and enhance the robustness of control ***,considering the multiple uncertain parameters,a genetic algorithm(GA)based Pareto uncertainty estimation is employed to predict the parameter uncertainties of the AHV ***,the mathematical proofs of proposed method are analyzed by utilizing Lyapunov *** results demonstrate the effective tracking performance,excellent disturbance estimation and uncertainty estimation ability of the composite method.
For semilinear parabolic PDE systems, the sampled-data observer (SDO) design under spatially point measurements (SPMs) with exponential time-varying gains is concerned. On basis of a Lyapunov functional, a SDO with ex...
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ISBN:
(纸本)9781665426480
For semilinear parabolic PDE systems, the sampled-data observer (SDO) design under spatially point measurements (SPMs) with exponential time-varying gains is concerned. On basis of a Lyapunov functional, a SDO with exponential time-varying gains under SPMs via linear matrix inequalities is presented to guarantee the exponential stability of estimation error PDE system. Lastly, two numerical examples are provided to support the proposed SDO design approach.
The sensor-less control system of PMSM is complicated,and it is of great significance to carry out accurate mathematical modeling and simulation *** is small in size,high in efficiency,and low in noise,so it is very p...
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The sensor-less control system of PMSM is complicated,and it is of great significance to carry out accurate mathematical modeling and simulation *** is small in size,high in efficiency,and low in noise,so it is very popular in AC motor *** have been widely used in various electrical appliances such as machine tools,robots,and household *** order to reduce the high-frequency chatter of the sensor-less control strategy of permanent magnet synchronous motors,a sensor-less control method based on improved SMO is *** back-EMF component in the static coordinate system is obtained through the *** backEMF component undergoes closed-loop feedback to eliminate the high-frequency *** back-EMF component is calculated by an improved PLL to obtain the position and speed of the rotor to improve system *** the end of the article,the feasibility is proved by comparing it with the simulation of conventional SMO-PLL.
The EEG of motor imagery varies greatly according to different subjects and the same subject in different time periods. Traditional machine learning methods can only solve the classification and recognition of the sam...
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This paper is concerned with a data-driven approach for the estimation of infinitesimal generators of continuous-time stochastic systems with unknown dynamics. We first approximate the infinitesimal generator of the s...
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This paper is concerned with a data-driven approach for the estimation of infinitesimal generators of continuous-time stochastic systems with unknown dynamics. We first approximate the infinitesimal generator of the solution process via a set of data collected from trajectories of the unknown system. The approximation utilizes both time discretization and sampling from the solution process. Assuming proper continuity assumptions on dynamics of the system, we then quantify the closeness between the infinitesimal generator and its approximation while providing a priori guaranteed confidence bound. We demonstrate that both the time discretization and the number of data play significant roles in providing a reasonable closeness precision. Moreover, for a fixed size of data, variance of the estimation converges to infinity when the time discretization parameter goes to zero. The formulated error bound shows how to pick proper data size and time discretization jointly to prevent this counter-intuitive behavior. The proposed results are demonstrated on a case study.
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