This paper presents a robust H ? polytopic Linear Parameter Varying (LPV) controller to regulate the blood glucose level in type-1 diabetes patients. The suggested approach utilizes an observer-based and inexact gain-scheduling scheme construct s...

abstract it is the purpose of this article to introduce a linear approximation technique for solving a fractional chance constrained programming (cc) problem. for this purpose, a fuzzy goal programming model of the equivalent deterministic form of the fractional chance constrained programming is provided and then the process of defuzzification and linearization of the problem is started. a samp...

We study the Bergman complex B(M) of a matroid M : a polyhedral complex which arises in algebraic geometry, but which we describe purely combinatorially. We prove that a natural subdivision of the Bergman complex of M is a geometric realization of the order complex of its lattice of flats. In addition, we show that the Bergman fan B̃(Kn) of the graphical matroid of the complete graph Kn is homeo...

We introduce N = 1 supersymmetric generalization of the mechanical system describing a particle with fractional spin in D = 1 + 2 dimensions and being classically equivalent to the formulation based on the Dirac monopole two-form. The model introduced possesses hidden invariance under N = 2 Poincaré supergroup with a central charge saturating the BPS bound. At the classical level the model admi...

and Applied Analysis 3 Let K z, z be the Bergman kernel function. Then the Bergman metric Hz β, β can be defined as

this paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. in this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. the robust controller is designed on the basis of fractional lyapunov stability theory. furthermore, the effects of model uncertainti...

We show that there are solitons with fractional fermion number in integrable N=2 supersymmetric models. We obtain the soliton S-matrix for the minimal, N=2 supersymmetric theory perturbed in the least relevant chiral primary field, the Φ(1,3) superfield. The perturbed theory has a nice Landau-Ginzburg description with a Chebyshev polynomial superpotential. We show that the S-matrix is a tensor ...