Sentence examples for singular order from inspiring English sources
Meanwhile, the reasonable singular order for the local reconfiguration to estimate the noise is determined by the inflection point of the increment trend of normalized singular entropy.
Based upon linear fracture mechanics, it is well known that the singular order of stresses near the crack tip in homogeneous materials is a constant value −1/2, which is nothing to do with the material properties.
Based upon the analytical solutions obtained previously for the multibonded anisotropic wedges, the near tip solutions for the general interface corners have been divided into five different categories depending on whether the singular order is distinct or repeated, real or complex.
While for the general interface corners, their singular orders depend on the corner angle as well as the elastic properties of the materials.
Owing to the difference of the singular orders of homogeneous cracks, interface cracks and interface corners, their associated stress intensity factors are usually defined separately and even not compatibly.
This paper presents three different necessary and sufficient conditions for the admissibility and robust stabilization of singular fractional order systems (FOS) with the fractional order α:0<α<1 case.
This paper investigates the output feedback normalization and stabilization for singular fractional order systems with the fractional commensurate order α belonging to (0,2).
end{aligned} (1.1) Our problems are characterized as a singular fourth order Hamiltonian system with singularity at ({z(t)=theta}), (theta= 0,ldots,0)).
With the approaches proposed in this technical note, we can analyze and design singular fractional order systems with similar way to the normal integer order systems.
Consider the infinite system of scalar singular second order three-point boundary value problems: (4.1).
Firstly, an effective criterion for the normalization of singular fractional order systems is given with output differential feedback.
