This paper deals with the design of a novel neural network based integral sliding mode (NN-ISM) control for nonlinear systems uncertain drift term and effectiveness matrix. Specifically, this extends classical law to case unknown nominal model. The latter is indeed reconstructed by two deep networks capable approximating terms, which are instrumental so-called manifold. In paper, ultimate bound...

This paper studies the Ratliff-Rush closure and the integral closure of an ideal in a valuation and Prüfer domains. By definition, the RatliffRush closure (respectively the integral closure) of an ideal I of a domain R is the ideal Given by Ĩ := S (I :R I ) (respectively I := {x ∈ R|x satisfies an equation of the form x + a1x + · · ·+ ak = 0, where ai ∈ I i for each i ∈ {1, . . . , k}}). An ide...

This paper studies the Ratliff-Rush closure and the integral closure of an ideal in a valuation and Prüfer domains. By definition, the RatliffRush closure (respectively the integral closure) of an ideal I of a domain R is the ideal given by Ĩ := S (I :R I ) (respectively I := {x ∈ R|x satisfies an equation of the form x + a1x + · · ·+ ak = 0, where ai ∈ I i for each i ∈ {1, . . . , k}}). An ide...

The calculation of body surface area (BSA), creatinine clearance and ideal body weight (IBW) is central to accurate dosing of many drugs, especially, but not exclusively, chemotherapy. Calculations can be time consuming and may lead to random and/or systematic errors. Computers on the other hand are ideal for carrying out repetitive calculations with consistent, reliable results. This lead to e...