Introduction The biosynthesis process description belongs to the class of non-linear, non-stationary, complex systems. The implementation of optimisation methods as well as Pontryagin’s maximum principle-based method is problematic when a non-linear model is used. A differential geometric technique permits the utilisation of a new non-linear transformation of a biotechnological kinetic model in...

We characterize the property of obtaining a solution to a convex program by minimizing over the feasible region a linearization of the objective function at any of its solution points (Minimum Principle Sufficiency). For the case of a monotone linear complementarity problem this MPS property is completely equivalent to the existence of a nondegenerate solution to the problem. For the case of a ...

We present a method to linearize, without approximation, specific class of eigenvalue problems with eigenvector nonlinearities (NEPv), where the are expressed by scalar functions that defined quotient linear eigenvector. The exact linearization relies on an equivalent multiparameter problem (MEP) contains solutions NEPv. Due characterization MEPs in terms generalized this provides direct way co...

Perceptual linearization has been advocated for medical image presentation, both for the faithful reproduction of images, and for standardizing the appearance across different display devices. At this time, few studies have attempted to evaluate the effectiveness of a post-processing perceptual linearization step. We have recently analyzed the methods for computing perceptual linearization rema...