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For this reason the development of optimal systems of radiation safety ensuring (RSES) acquires especial importance.
In order to demonstrate the classification of the group invariant solutions, Ovsiannikov put forward the concept of optimal systems of subalgebras of a Lie algebra [2].
Then this method extended to many examples of optimal systems of subgroups for the Lie group of mathematical physics models by Winternitz et al. [31, 32].
The paper presents a technique for the synthesis of optimal systems based on the combination of the method of structure variables [1] and the "Branch-and-bound" [2] algorithm.Complex method [3] is used to solve the problems of optimization.
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Model simulation of SBR behaviour also supports the results of optimal system design derived from process stoichiometry.
Straightforward experiments with thin, macroscopic films and computer simulations can allow for rapid identification of optimal system design.
(22) Below, we list the corresponding similarity variables and similarity solutions as well as the reduced ODEs obtained from the generators of optimal system.
For the development of optimal system control and load/energy management strategy, different simulation models from APL (Alternative Power Library) have been used for a Hybrid PV wind-hydrogen system that will be installed in the Essaouira region in Morocco.
To this end, analytical expressions are derived for the AMMSE of asymptotically optimal systems.
Limiting properties of the optimal systems as τ → ∞ have been investigated.
In this paper, we discuss how a bionic approach can solve the upcoming problems of energy optimal systems.
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