The paper investigates the possibility of modeling the highly nonlinear and very complex Sorensen model, [1], of Type 1 diabetic patients using the polytopic LPV modeling possibility. It is illustrated that the LPV model is working correctly only in the considered polytope region, but inside it is approximating well the nonlinear model.

This paper addresses a linear finite-horizon robust optimal H∞ analysis problem, where the system matrices and the system initial conditions (ICs, x0) are concurrently uncertain, both in a polytopic manner. Current finite-horizon H∞ analysis practice assumes x0 ∈R ; that is, allows infinite ICs uncertainty. This assumption is unrealistically conservative, and incompatible with the prevalent rob...

The biogenesis of membrane proteins with a single transmembrane (TM) segment is well understood. However, understanding the biogenesis and membrane assembly of membrane proteins with multiple TM segments is still incomplete because of the complexity and diversity of polytopic membrane proteins. In an attempt to investigate further the biogenesis of polytopic membrane proteins, I used the human ...

This paper investigates optimal signal predictive quantization in the presence of source model uncertainties. It uses polytopic system model to represent the uncertainties in source signal and uses the recent results on robust filtering [8] to obtain a robust H∞ optimal design of signal predictor. Results of computational study is presented to demonstrate the advantages of the obtained design.

Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as an LMI using KYP Lemma. This parameterization is a convex innerapproximation of the whole non-convex set of stabilizing controllers and depends on the choice of a central polynomial. It is shown that with an appropriate choice of the central polynomial, the set of all s...

Polytopic multiplexing is a new method of overlapping holograms that, when combined with other multiplexing techniques, can increase the capacity of a volume holographic data storage system by more than a factor of 10. This is because the method makes possible the effective utilization of thick media. An experimental demonstration of this technique is also presented.

This paper investigates the stability problem of Markovian jump systems with multiple delay components and polytopic uncertainties. A new Lyapunov– Krasovskii functional is used for the stability analysis of Markovian jump systems with or without polytopic uncertainties. Two numerical examples are provided to demonstrate the applicability of the proposed approach.