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The broad theme of his work is to obtain simple mathematical models for complex systems (particularly those involving fluids), using data from simulations or experiments.
In this way we obtain simple descriptions of the non-abelian derived functors of the reflectors via higher Hopf formulae.
It is thus not possible to obtain simple solutions for general cases, therefore sophisticated methods are necessary for the analysis.
A new scheme called exploratory modelling for controller optimisation (EMCO) is introduced to obtain simple robust controllers.
We also study the associated complexity issues and obtain simple qualitative results for the computational work required.
This two-scale structure allows one to obtain simple conditions of global bifurcations in the proximity of singularities.
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Motivated by this, we obtain simpler conditions which are equivalent to Conditions (A) and (B).
We propose a relaxation of the channel prior distribution in order to obtain simpler functions and to further reduce the computational complexity (reader side) of the implementation.
This allows us to employ an approximation for the lower bound on the mutual information rate, (40). in the analytical calculations to obtain simpler expressions.
This work extends the theory of Negative-Imaginary Systems by obtaining simple analytical stability conditions when such low-frequency restrictions are present.
We have obtained simple analytical formulas for the sensitivity indices of this time-delay HIV model and used them to compute numerical values.
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