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Admissibility tests for multidimensional singular fractional continuous-time models

Benyettou Kamel, Bouagada Djillali

Archives of Control Sciences

2022

Vol. 32, No. 3

607--625

In this paper we present and discuss a new class of singular fractional systems in a multidimensional state space described by the Roesser continuous-time models. The necessary and sufficient conditions for the asymptotic stability and admissibility by the use of linear matrix inequalities are established. All the obtained results are simulated by some numerical examples to show the applicability and accuracy of our approach.

Guess the Larger Number

Gnedin A.

Mathematica Applicanda

2016

Vol. 44, No. 1

183–-207

We discuss variations of the zero-sum game where Bob selects two distinct numbers, and Alice learns one of them to make a guess which of the numbers is the larger.

Przedmiotem rozważań są odmiany gry o sumie zerowej, gdy Bob wybiera dwa różne numery, a Alice dowiaduje się jedną z nich, by zgadnąć, która z liczb jest większa.

Admissible disturbances for perturbed nonlinear discrete systems

Rachik M., Tridane A., Lhous M., Tridane Z.

Archives of Control Sciences

2006

Vol. 16, no. 3

297-314

Consider the discrete perturbed controlled nonlinear system given by { xe (i+1)=Axe(i) + f(ζiui+ωi), i≥0 xe(0)=γx0+ψ The disturbance e is said to be ε-admissible if IIye(i) - y(i)II ≤ε, ∀≥0. The set of all ε-admissible disturbances is the admissible set σ(ε). The characterization of σ(ε) is investigated and practical algorithms with numerical simulation are given. The admissible set σd(ε) for discrete delayed systems is also considered.

On admissible quadratic estimation in a special linear model

Neumann K.

Probability and Mathematical Statistics

2005

Vol. 25, Fasc. 2

257--265

A random linear model for spatially located sensors measured intensity of a source of signals in discrete instants of time is considered. A characterization of admissible quadratic estimators of the mean squared error of a linear estimator of the expectation of the intensity is given.