We consider the problem of finding an N-point configuration on sphere $$S^d\subset \mathbb R^{d+1}$$ with smallest absolute maximum value over $$S^d$$ its total potential. The potential induced by each point $$\textbf{y}$$ in a given at $$\textbf{x}\in S^d$$ is $$f\left( \left| \textbf{x}-\textbf{y}\right| ^2\right) $$ , where f continuous [0, 4] and completely monotone (0, 4], $$\left| Euclide...

We investigate probability in the presence of causal dependence and independence. More precisely, we study the process model of probabilistic event structures. We characterise the “global valuation” induced on the configurations by a probabilistic event structure and show how global valuations restrict to probability distributions on certain “test” sets. This leads to a definition of probabilis...

A Fault-Tolerant Control (FTC) methodology has been presented for nonlinear processes being imposed by control input constraints. The proposed methodology uses a combination of Feedback Linearization and Model Predictive Control (FLMPC) schemes. The resulting constraints in the transformed process will be dependent on the actual evolving states, making their incorporation in the de...

We use methods of approximation theory to find the absolute minima on sphere potential spherical (2m−3)-designs with a non-trivial index 2m that are contained in union m parallel hyperplanes, m≥2, whose locations satisfy certain additional assumptions. The interaction between points is described by function dot product, which has positive derivatives orders 2m−2, 2m−1, and 2m. This includes cas...

Biomass from Oil Palm Empty Fruit Bunch (OPEFB) has the potential to be used as feedstock for bio-Dimethyl Ether (bio-DME) production through gasification process. Bio-DME replace liquified petroleum gas (LPG) and biodiesel it similar characteristics both fuels. Therefore, this study was aimed evaluate previous research on OPEFB-based bio-DME its sustainability, identify existing gaps in formul...