We present a numerical approximation of Darcy's flow through porous medium that incorporates networks fractures with non empty intersection. Our scheme employs PolyDG methods, i.e. discontinuous Galerkin methods on general polygonal and polyhedral (polytopic, for short) grids, featuring elements edges/faces may be in arbitrary number (potentially unlimited) whose measure arbitrarily small. appr...

This paper is concerned with finite- and fixed-time robust stabilization of uncertain multi-input nonlinear systems via the implicit Lyapunov function method. Instead splitting system into a linear nominal model an additive perturbation which gathers nonlinearities, parametric uncertainties, exogenous disturbances, methodology hereby proposed preserves some terms in exact polytopic representati...

[VNb12O40]15− polytopic ligand can coordinate to up five {(C6H6)Ru}2+ groups. Combined analytical separation tools together with 1H DOSY NMR were firstly applied the solution studies of polyoxoniobate based complexes.

A solution for fault tolerant control (FTC) of a quadrotor unmanned aerial vehicle (UAV) is proposed. It relies on model reference-based control, where a reference model generates the desired trajectory. Depending on the type of reference model used for generating the reference trajectory, and on the assumptions about the availability and uncertainty of fault estimation, different error models ...

This paper investigates the exponential stability of uncertain time delay systems using a novel descriptor redundancy approach based on partitioning. First, original system is casted into an equivalent singular state–space representation by introducing redundant state variables so that resulting progressively reduced. From model and applying Lyapunov Functional method, sufficient condition Line...

The paper addresses a case study of robust stabilization of a continuous stirred tank reactor using robust model-based predictive control with constrained input variables. One exothermic reaction runs in the reaction mixture and the reactor is modelled in the form of an uncertain polytopic system. The control approach is based on solution of a set of linear matrix inequalities. This formulation...

A novel model predictive control with state estimator is proposed for polytopic uncertain systems with actuator saturation in which the actuator saturation is described as a convex hull composition. At each sampling time, a state feedback control law is obtained such that the upper bound of the quadratic objective function is minimized. The intrinsic relationship between infinite horizon contro...