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We derive an upper bound for the input delay tolerance, which explicitly depends on the agent dynamics.
The key step is the construction of a monotone mapping, which explicitly depends on some of the estimator tuning parameters.
Furthermore, in some existing asynchronous controller strategies, it is required that the derivative of the membership function of the system not explicitly depends on the system input.
Contrary to the IGA-based DSA, the Hermite basis function explicitly depends on design in the FEA-based DSA due to its element length parameter.
The distinguishing aspect of the internal actuation model is that the drift vector field in the system dynamics explicitly depends on the conserved total angular momentum.
The resulting expression explicitly depends on the viscoelasticity (frequency derivatives of the damping function), the nonproportionality (influence of the modal damping matrix off-diagonal terms).
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In a simplified case of using of the effective field hypothesis for analyzing composites with one sort of heterogeneities, one proves that the effective moduli explicitly depend on both the strain and stress concentrator factor for one heterogeneity inside the infinite matrix and does not directly depend on the elastic properties (local or nonlocal) of heterogeneities.
For autonomous differential equations (i.e. ones which do not explicitly depend on time) there is an invariance with respect to time shifts, in the same way that we saw invariance with respect to spatial shifts in Sect.
We immediately note that the angular speed (dot {theta }) can be directly control by u, while the radial one, (dot {r}), does not explicitly depend on the field.
Disregarding generalised body forces, which may be position dependant, the energy functional in Eq. 10 does not explicitly depend on the spatial coordinates, and therefore, the Beltrami identity may be used to obtain the stationary points of the Euler-Lagrange equation.
It does not explicitly depend on the j's score in the past or future.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com