查看更多>>摘要：This paper investigates the fault-tolerant control problem for fuzzy semi-linear parabolic PDE systems with stochastic actuator failures. First, a pointwise measurement-based adaptive-event-triggered control scheme is newly proposed for semi-linear PDE systems to reduce the waste of communication resources. Second, by introducing a more practical semi-Markov jump model describing the random occurring actuator failures, the closed-loop system is exactly represented by a T-S fuzzy PDE model with semi-Markovian switching parameters. Moreover, by constructing a suitable LKF including an improved looped-functional and using some advanced inequalities, sufficient stability conditions with less conservatism are established. Finally, two simulation examples including comparative studies are employed to demonstrate the superiority and effectiveness of the developed method.
查看更多>>摘要：A stability analysis of the Borel-Pade-Laplace series summation technique, used as explicit time integrator, is carried out. Its numerical performance on stiff and non-stiff problems is analyzed. Applications to ordinary and partial differential equations are presented. The results are compared with those of many popular schemes designed for stiff and non-stiff equations.(c) 2022 Elsevier Inc. All rights reserved.
查看更多>>摘要：Certain models for ocean wave spectra, including the Bretschneider and Pierson-Moskowitz spectra, have spectral densities in the form of the Frechet probability density. The autocorrelation function (ACF) of the waves is the Fourier cosine transform of the spectral density. Mellin transforms are applied to obtain the ACF in the form of a Fox H-function. If the Frechet shape parameter is rational, the ACF may also be expressed as a Meijer G-function. These generalised functions are difficult to compute, so power series and saddle point approximations are derived to compute the ACF. The speed and accuracy of these methods is assessed. Crown Copyright (c) 2022 Published by Elsevier Inc. All rights reserved.
查看更多>>摘要：This paper considers the fault detection (FD) problem for large-scale network systems with unknown system dynamic matrices. Compared with single systems, the FD problem is hardly solved due to the unmeasurable interconnection signals composed by neighboring subsystems states. To overcome this difficulty, the unmeasurable interconnection terms are estimated within the data-driven framework firstly. Then, a residual generator is designed in terms of the input and output data. Moreover, considered the freedom degree in design of the residual generator, an H-/H-infinity mixed optimization scheme is proposed to enhance the sensitivity to the actuator faults as well as the robustness against the measurement noises. Based on it, actuator faults with smaller magnitude can be detected. Also, the advantages and effectiveness of the proposed FD approach are verified by a numerical example. (C) 2022 Elsevier Inc. All rights reserved.
Knez, MarjetaPelosi, FrancescaSampoli, Maria Lucia
14页
查看更多>>摘要：In this paper we address the problem of constructing G(2) planar Pythagorean-hodograph (PH) spline curves, that interpolate points, tangent directions and curvatures, and have prescribed arc-length. The interpolation scheme is completely local. Each spline segment is defined as a PH biarc curve of degree 7, which results in having a closed form solution of the G(2) interpolation equations depending on four free parameters. By fixing two of them to zero, it is proven that the length constraint can be satisfied for any data and any chosen ratio between the two boundary tangents. Length interpolation equation reduces to one algebraic equation with four solutions in general. To select the best one, the value of the bending energy is observed. Several numerical examples are provided to illustrate the obtained theoretical results and to numerically confirm that the approximation order is 5. (C)& nbsp;2022 Elsevier Inc. All rights reserved.
查看更多>>摘要：The computation of C-eigenvalues and their corresponding C-eigenvectors of a given third-order piezoelectric-type tensor is generally difficult by its original definition. In this paper, we attempt to find a convenient pathway for this topic. To reach this goal, a series of steps is performed with the intention of using pioneering results on Z-eigenpairs. Firstly, a fourth-order symmetric tensor is constructed according to a given piezoelectric-type ten -sor. Secondly, we show the relationships between C-eigenpairs of a piezoelectric-type ten -sor and Z-eigenpairs of the constructed fourth-order symmetric tensor. Finally, by comput-ing all non-negative Z-eigenvalues of the constructed fourth-order symmetric tensor, we obtain all C-eigenvalues of the piezoelectric-type tensor; and then their C-eigenvectors can be got correspondingly. To validate efficiency of the method based on the foregoing three main steps, some numerical experiments are also presented. From the results obtained, it can be found that the method we proposed is valid. (c) 2022 Elsevier Inc. All rights reserved.
Luengo, Elena AlmarazCerna, Marcos Brian LeivaVillalba, Luis Javier GarciaHernandez-Castro, Julio...
16页
查看更多>>摘要：One of the fundamental aspects when working with batteries of statistic tests is that they should be as efficient as possible, i.e. that they should check the properties and do so in a reasonable computational time. This assumes that there are no tests that are checking the same properties, i.e. that they are not correlated. One of the most commonly used measures to verify the interrelation between variables is the Pearson's correlation. In this case, linear dependencies are checked, but it may be interesting to verify other types of non-linear relationships between variables. For this purpose, mutual information has recently been proposed, which measures how much information, on average, one random variable provides to another. In this work we analyze some well-known batteries by using correlation analysis and mutual information approaches.(c) 2022 Published by Elsevier Inc.
查看更多>>摘要：In this article, using the method of local analysis of abelian groups, we classify the commuting graph of the prime cyclic extension of an abelian group completely and obtain certain prominent parameters like independent number, clique number and second clique number of the graphs.(c) 2022 Elsevier Inc. All rights reserved.
查看更多>>摘要：In this paper, a stochastic Hamiltonian formulation (SHF) is proposed and applied to dis-sipative particle dynamics (DPD) simulations. As an extension of Hamiltonian dynamics to stochastic dissipative systems, the SHF provides necessary foundations and great con-venience for constructing efficient numerical integrators. As a first attempt, we develop the Stormer-Verlet type of schemes based on the SHF, which are structure-preserving for deterministic Hamiltonian systems without external forces, the dissipative forces in DPD. Long-time behaviour of the schemes is shown numerically by studying the damped Kubo oscillator. In particular, the proposed schemes include the conventional Groot-Warren's modified velocity-Verlet method and a modified version of Gibson-Chen-Chynoweth as special cases. The schemes are applied to DPD simulations and analysed numerically.(c) 2022 Elsevier Inc. All rights reserved.
查看更多>>摘要：In this paper, the reliable output feedback control issue for discrete-time switched piecewise-affine systems against deception attacks is investigated. The mode of the constructed system is controlled by the persistent dwell-time switching mechanism and the occurrence of deception attacks is assumed to obey Bernoulli distribution. Based on the mode-dependent Lyapunov function and S-procedure theories, for the piecewise-affine systems, a reliable output feedback controller is designed. Some sufficient conditions are established to make sure the underlying systems are mean-square exponentially stable with prescribed H-infinity & nbsp;performance. Lastly, the correctness of the derived results is proved via a simulation example. (C)& nbsp;2022 Elsevier Inc. All rights reserved.
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