In this article, we study the notion of the variational inequalities for lattice-valued fuzzy relations. In this context, a variational inequality problem has been proposed that generalizes many results in the literat...
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In this article, we study the notion of the variational inequalities for lattice-valued fuzzy relations. In this context, a variational inequality problem has been proposed that generalizes many results in the literature. The conditions for the existence of solutions of the proposed problem have been discussed. It has been shown that the proposed variational inequality problem is equivalent to a fixed point problem. This fixed point formulation allows us to present an iterative algorithm to approximate solution of the variational inequality problem. For applications, first the existence result for the solutions of an L-fuzzy Caputo-Fabrizio fractional differential inclusion initial value problem involving a projection operator has been proved. Then the solutions of an obstacle boundary value variational inequality problem in function spaces has been obtained.
This article deals with the problem of fault detection observer design for continuous-time periodic piecewise linear systems. Mixed H-/H-infinity performance index is introduced, which results in a trade-off between r...
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This article deals with the problem of fault detection observer design for continuous-time periodic piecewise linear systems. Mixed H-/H-infinity performance index is introduced, which results in a trade-off between robustness to unknown input and sensitivity to a fault. Based on a class of Lyapunov functions with time-varying Lyapunov matrices, sufficient conditions are developed to investigate the existence of periodic piecewise fault detection observer with weighted H-/H-infinity performance. A tractable iterative algorithm is proposed to establish the desired periodic piecewise fault detection observer. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
For the bilinear system with white noise, the difficulty of identification is that there exists the product term of the state and input in the system. To overcome this difficulty, we derive the input-output representa...
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For the bilinear system with white noise, the difficulty of identification is that there exists the product term of the state and input in the system. To overcome this difficulty, we derive the input-output representation of a class of special bilinear systems by using the transformation, and present a stochastic gradient (SG) algorithm and a gradient-based iterative algorithm for estimating the parameters of the systems in the case of the known input-output data by means of the auxiliary model. The proposed gradient-based iterative algorithm can generate more accurate parameter estimates than the auxiliary model based SG algorithm. The performance of the proposed algorithms are tested by two numerical examples. (C) 2019 Elsevier B.V. All rights reserved.
Laser pulse shape is one of the most critical parameters for the success of inertial confinement fusion (ICF) experiments. The ability to shape the laser pulse with accuracy, efficiency, and robustness is fundamental ...
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Laser pulse shape is one of the most critical parameters for the success of inertial confinement fusion (ICF) experiments. The ability to shape the laser pulse with accuracy, efficiency, and robustness is fundamental to the ICF experiments. An autonomous pulse-shaping method that is universally feasible for ICF facilities with individual characteristics and independent adjustability for each beam has been achieved. This method employs an iterative algorithm and strategies to solve the problem of nonlinear response in the pulse-shaping process, as well as to improve the convergence rate. The test results indicate that it is capable of shaping an almost arbitrary pulse waveform within 5 min and 10 iterations, reaching a convergent accuracy better than 10 % RMS of the deviances. As a result, the precise control on the laser pulse shape and the operational efficiency in ICF facilities are greatly improved.
The finite-element-implemented Koiter's initial postbuckling analysis has not managed to convince commercial finite element code developers to incorporate it into their codes to benefit structural designers and an...
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The finite-element-implemented Koiter's initial postbuckling analysis has not managed to convince commercial finite element code developers to incorporate it into their codes to benefit structural designers and analysts. Three key obstacles have been identified. With two of them being resolved recently, the present paper addressed the remaining one, namely, the efficient solution of the second-order perturbation equation. A closed-form solution is obtained, which is more computationally efficient than any approach adopted in the past. The closed-form solution is obtained mathematically rigorously, and in the meantime it is computational efficient. The approach applies also to problems where buckling is of multiple modes. The solution procedure established in this paper has been verified and demonstrated through a structural application.
This paper suggests a simple iterative and robust maximum likelihood estimation method for the parameters of a high-dimensional Student t-distribution that is substantially faster than direct maximum likelihood approa...
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This paper suggests a simple iterative and robust maximum likelihood estimation method for the parameters of a high-dimensional Student t-distribution that is substantially faster than direct maximum likelihood approaches. (C) 2019 Elsevier B.V. All rights reserved.
In this paper, a new method for solving the parameters of multivariate EIV model is proposed. The likelihood function of multivariate EIV model is constructed based on the principle of maximum likelihood estimation. T...
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In this paper, a new method for solving the parameters of multivariate EIV model is proposed. The likelihood function of multivariate EIV model is constructed based on the principle of maximum likelihood estimation. The formula for solving the parameters is deduced, and two algorithms for solving the parameters were given. Finally, a real calculation example and a simulation example are used to verify the results, and the results of the proposed method are compared with those of the existing methods. The results show that the proposed method can achieve the same results as the existing methods, which verifies the feasibility of the proposed method.
Regularization parameter selection is pivotal in optimizing reconstructed images which controls a balance between fidelity and penalty term. Images reconstructed with the optimal regularization parameter will keep the...
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ISBN:
(纸本)9781510625440
Regularization parameter selection is pivotal in optimizing reconstructed images which controls a balance between fidelity and penalty term. Images reconstructed with the optimal regularization parameter will keep the detail preserved and the noise restrained at the same time. In previous work, we have used CT image statistics to select the optimal regularization parameter by calculating the second order derivates of image variance (Soda-curve). But same as L-curve method, it also needs multiple reconstruction in different regularization parameters which will spend plenty of time. In this paper, we dive into the relationship between image statistics changes and regularization parameter during the iteration. Meanwhile, we propose a method based on the empirical regularity found in the iterations to tune the regularization parameter automatically in order to maintain the image quality. Experiments show that the images reconstructed with the regularization parameters tuned by the proposed method have higher image quality as well as less time when compared to L-curve based results.
This paper proposes a control strategy for single-phase off-grid inverter, which integrates the three closed-loop control with the iterative-based RMS algorithm. The inverter circuit is modeled, and simulation experim...
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This paper proposes a control strategy for single-phase off-grid inverter, which integrates the three closed-loop control with the iterative-based RMS algorithm. The inverter circuit is modeled, and simulation experiment and prototype verification are performed on Matlab. The results show that the voltage drop problem caused by an abrupt variation of inverter load is improved greatly owing to the addition of voltage RMS loop. Meanwhile, the application of iterative method enhances the dynamic response performance of the system substantially;and improves the real-timeliness of three closed-loop control. The two complement each other to provide a highly effective, reliable control solution for the single-phase off-grid inverter.
Mobile technology has led to more and more app-based ride-sourcing platforms on the market. This paper analyzes the pricing strategies of ride-sourcing platforms by economic model and numerical experiment. We propose ...
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ISBN:
(纸本)9781728119410
Mobile technology has led to more and more app-based ride-sourcing platforms on the market. This paper analyzes the pricing strategies of ride-sourcing platforms by economic model and numerical experiment. We propose an overall model which includes demand, labor supply, and the matching function between demand and supply. The model explicitly considers the interaction between labor supply and driver income, while modeling the market as a system of nonlinear equations. We prove the existence of market equilibrium through the fixed point theorem, and propose an approximate iterative algorithm to obtain the equilibrium. Finally, we use numerical experiments to study the impact of pricing strategies on the ride-sourcing market.
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