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The stability and robustness of the proposed controller have been proved using the classic Lyapunov criterion.
The strong bounding theorem of micromixing has been proved using Bellman's principle of optimality.
The finite time stability has been proved using the Lyapunov theory.
The homogeneous constitution of all soluble polymers has been proved using high-resolution 1H and 13C n.m.r.
Remark 4.2 Equality (28) has been proved, using different method, by Luo [[11], Theorem 2.1].
Later some of these identities have been proved using only elementary techniques.
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The stability of the EASFSC has been proven using the Lyapunov stability theorem.
Analogues of the above results have been proven using different game models (e.g., epistemic models, epistemic-plausibility models, etc).
The positive effect of folic acid on dermal fibroblast has already been proven using the Host Cell Reactivation Assay.
Unconditional stability is proved using Von-Neumann approach.
Stability is proved using a Lyapunov approach.
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CEO of Professional Science Editing for Scientists @ prosciediting.com