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 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.

This paper designs state estimators for uncertain linear systems with polytopic description, different state disturbance, and measurement noise. Necessary and sufficient stability conditions are derived followed with the upper bounding sequences on the estimation error. All the conditions can be expressed in the form of linear matrix inequalities. A numerical example is given to illustrate the ...

New LMI conditions are given for robust H2 analysis of polytopic systems based on polynomial parameter-dependent Lyapunov functions. Results are derived using a ”slack variables” approach. Numerical results illustrate the characteristics of the proposed results in terms of conservatism reduction and numerical complexity.

Three new molecular cages-a trigonal prism (2) and two cubic-shaped boxes of increasing size (3, 4)-featuring as many as 10 porphyrins were obtained in quantitative yields by self-assembly of a single bis-zincporphyrin metallacycle (1) with appropriate polytopic N-linkers: the trigonal planar tpt or the cruciform porphyrins 4'-TPyP and 4'-TPhPyP.

A suucient LMI condition is proposed for checking robust stability of a polytope of polynomial matrices. It hinges upon two recent results: a new approach to polynomial matrix stability analysis and a new robust stability condition for convex polytopic uncertainty. Numerical experiments illustrate that the condition narrows signiicantly the unavoidable gap between conservative tractable quadrat...

This paper proposes a unified framework to achieve chaos synchronization of both classes of chaotic discrete-time systems, namely maps involving polynomial nonlinearities and piecewise linear maps. It is shown that all of those chaotic systems can be rewritten as a polytopic Linear Parameter Varying (LPV) system. A unified approach to tackle chaos synchronization problems encountered in communi...