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This paper expands on our previous work by providing an explicit implementation of the algorithm together with a mathematical proof of its applicability to a class of reactions prevalent in models of gene regulation.
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Additionally, the proposed control strategy has a wide area of applicability, to a general class of chemical units.
When compared to the most common strategies in the literature, the suggested approach: (i) under suitable conditions, guarantees false alarms are avoided; (ii) unlike residual-based architectures, does not require the computation of thresholds to declare faults; (iii) has applicability to a wide class of plants.
Furthermore, the framework is extended with respect to plastic compressibility thereby providing its applicability to a broad class of engineering problems.
This restricts the applicability of the formulation to a class of problems where the influence of the bi-moment is negligible.
This gives the solver a quite general applicability to the class of problems previously mentioned.
Korpelevich's extragradient method has been studied and extended extensively due to its applicability to the whole class of monotone variational inequalities.
Finally, we show the great applicability of this algorithm and, as an example, we use it to analyze some new rational (Padé) approximations of the function cos2 x and to improve a class of inequalities by Yang.
Bankruptcy or insolvency laws vary considerably in their applicability to particular classes of persons.
We also discuss various aspects of preconditioning the method and its general applicability to broader classes of problems.
The methods used —second-order differencing, split operator propagation, Chebyshev polynomial expansion—are discussed in terms of their applicability to various classes of dynamic problems.
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