Sentence examples for assumptions of regularity from inspiring English sources

Under the assumptions of regularity, asymptotic stability and index one property of the descriptor system representing the structure with tuned mass dampers, optimization criterion is defined in terms of H∞ norm of the system.

As has been pointed out before, the functionals Φ, Ψ satisfy the assumptions of regularity required in Lemma 2.4.

Under suitable assumptions of regularity, the RL and GL operators coincides, i.e., D t 0 α RL f ( t ) = GL D t 0 α f ( t ).

This is proved for a generic anatomical connectivity, therefore the assumption of regularity is relaxed.

Since the assumptions of Basic Regularity Condition, we have λ k = 0, k ∈ P, k ≠ i, μ j = 0, j ∈ I (x0).

Kato made no explicit assumptions on regularity in s saying "Our proof given below is rather formal and not faultless from the mathematical point of view.

Under the assumption of sufficient regularity, uniform exponential decay of energy is also established for such domains.

We analytically study the convergence rate of the Fourier transformed Boltzmann collision operator in the grazing collisions limit to the Fourier transformed Landau collision operator under the assumption of some regularity and decay conditions of the solution to the Boltzmann equation.

In [8], under the assumption of proper regularity of the observed edge, a reduced complexity MMSE decoder is proposed.

It is worth emphasizing that the assumption of asymptotic regularity on { x n } in [[22], Theorem 3.1] is dropped by Theorem 4.1.

(vi) It is worth emphasizing that the assumption of asymptotic regularity on { x n } in [[22], Theorem 3.1] is dropped by Theorem 3.1, and there is no assumption of the convergence of parameter sequences to zero in our Theorem 3.1.