Theorem 1 in the discussed paper is shown to be incorrect by means of a simple counterexample. The example shows that semi-implicit conditioned super-twisting algorithm does not admit general tuning rule for its parameter $\kappa _{1}$ ...

Following Mathieu [Ma], Motegi [Mo] and others, we consider the class of possible composite twisted unknots as well as pairs of composite knots related by twisting. At most one composite knot can arise from a particular V -twisting of an unknot; moreover a twisting of the unknot cannot be composite if we have applied more than a single full twist. A pair of composite knots can be related throug...

In this supplement, we derive the effective one-axis twisting dynamics of an atomic ensemble coupled to a driven optical cavity [1–3]. This system has been analyzed elsewhere, but we know of no comprehensive treatment using the Lindblad master equation formalism. We also establish an equivalence between the twisting dynamics of the driven cavity scheme and the twisting dynamics of a four-photon...

Piezoelectric actuators (PEA) are frequently employed in applications where nano-Micr-odisplacement is required because of their high-precision performance. However, the positioning affected substantially by hysteresis which resembles an nonlinear effect. In addition, mathematical models own deficiencies that can influence on reference following The objective this study was to enhance tracking ...

the german cockroach, blattella germanica, is one of the most common pest species, and is acarrier of many pathogen and allergen factors in humans. thus, regarding public health, the control of thisinsect is quite important. dietary use of hormone analogues, especially juvenoids which disrupt reproductiveorgan development, is a relatively new method to control cockroaches. in this study, the ef...

In this paper, we propose an algorithm for obtaining the common transfer digraph Dm* enumeration of 2-factors in graphs from title, all which have m·n vertices (m,n∈N,m≥2). The numerical data gathered m≤18 reveal some matches numbers different types torus or Klein bottle. latter case, conjecture that these are invariant under twisting.