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The asymptotic field consists of two modes of singular stresses, scaling with the distance from the edge r as, respectively, r−λ1 and r−λ2, where λ1>λ2.
The samples of the proposed models are elements of finite-dimensional vector spaces spanned by samples, eigenfunctions of Karhunen Loève (KL) representations, or modes of singular value decompositions (SVDs).
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This paper is concerned with the reconstructability and detectability of the jump modes of discrete singular systems.
The notion of jump modes can be considered as the discrete counterpart of the impulsive modes of continuous singular systems which has been extensively studied.
This paper considers a sliding mode control (SMC) of singular systems.
While eigenvalue-based analyses give information about the resonance frequencies and vibration modes of a structure, singular values of the structure are related to the forced response characteristics and give the dynamic behavior in the frequency domain.
Duns Scotus, Ockham, and Walter Burley maintained that the so called 'species' of the quality were not properly species (or intermediate genera), but modes of quality, since many singular qualities would belong to the first three species at the same time, as, unlike species, modes are not constituted by opposite properties.
"The ideas of singular things, or of modes, that do not exist must be comprehended God's infinite idea in the same way as the formal essences of singular things, or modes, are contained in God's attributes" (IIp8).
According to Figure 4, the numbers of singular vectors are kept in each mode, and the different CRs are shown in Table 1.
The core tensor W and mode matrices U n 's correspond to the matrices of singular values and orthonormal basis vectors in matrix SVD, respectively.
This paper considers the H∞ control problem for a class of singular Markovian jump systems, where the operation mode of a controller has a disordering phenomenon.
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