Exact(12)
for all parameter uncertainties satisfying the admissible condition.
Therefore, ϕ ∈ Φ [ Ω, M ] satisfies the admissible condition (2.14).
As for the continuous wavelet transform requiring only the admissible condition, there are many possibilities to choose the analyzed wavelet.
The following example shows that the triangular α-proximal admissible condition for ((f,g)) cannot be relaxed from Theorem 2.9.
To use Corollary 2.6, we need to show that ϕ ∈ Φ L [ Ω, M ], that is, the admissible condition (2.10) is satisfied.
Formula (4) tells us that the traditional Morlet wavelet is designed to be composed by two Gauss functions; the aim of doing this is only to make the analysis wavelet meet the wavelet admissible condition.
Similar(48)
The inadmissible constraints with uncontrollable and unobservable transitions are transformed into admissible conditions in this method.
The admissible conditions are first derived such that the system is not only regular, impulse-free but also bounded state stable.
The statically admissible conditions include the system of equilibrium equations, non-negativity of both normal stress on the slip surface and thrust inside the block.
In this paper we completely determine the set Meta K3+e>P4,λ) or Meta K3+e>H4,λ) when the admissible conditions are satisfied, for any λ.
The main contributions of this paper are as follows: (i) The elements of the system coefficient matrices can be unbounded functions, and the time-delay can be very large under admissible conditions.
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