This work suggests the estimation method developed in relation to the position of the robotic system (RS) operator, showing his degree of risk proneness. The base models are: Hurwitz pessimism/optimism criterion and decision trees. The problem is solved using the reverse setting: we estimate pessimism/optimism parameter of the operator (decision taker) by observing what decisions he makes when ...

Dead-time compensators (DTCs) are frequently regarded as being excessively sensitive to uncertainty in the loop delay. This claim, however, is based mostly on empirical studies rather than on any rigorous analysis. In particular, despite existing literature on the calculation of the delay margin, μd, there appears to be no study of the underlying reasons of such a sensitivity. In this paper we ...

In a disk with an oscillatory deformation from an axisymmetric state with frequency ωD and azimuthal wavenumber mD, two normal mode oscillations with a set of frequency and azimuthal wavenumber being (ω1, m1) and (ω2, m2) are resonantly coupled to each other through the disk deformation when the resonant conditions (ω1 + ω2 + ωD = 0 and m1 + m2 + mD = 0) are satisfied. In the case of hydrodynam...

We give detailed discussion of a procedure for determining the robust D-stability of a 4×4 real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.

The Arnold stability criterion suggests that a stationary ow of an ideal incompressible uid is stable if a certain quadratic form is deenite. We show that, in three or more dimensions, this quadratic form is never deenite. Typically the form is indeenite, and the spectrum of the associated Hermitian operator ranges from ?1 to 1. The exceptional case is where the velocity eld is harmonic (soleno...

A new criterion is derived that relates the stability of two-dimensional recursive filters to the properties of its cepstrum. It provides a procedure for the decomposition of unstable recursive filters having nonzero, nonimaginary frequency response into stable recursive filters. The optimal solution of the decomposition problem is discussed, including numerical implementation and nonrecursive ...

— In this note, we have shown special case on Routh stability criterion, which is not discussed, in previous literature. This idea can be useful in computer science applications.

This paper is about omitting types in logic of metric structures introduced by Ben Yaacov, Berenstein, Henson and Usvyatsov. While a complete type is omissible in some model of a countable complete theory if and only if it is not principal, this is not true for the incomplete types by a result of Ben Yaacov. We prove that there is no simple test for determining whether a type is omissible in a ...

This paper presents a new distributed constraint optimization algorithm called LSPA, which can be used to solve large scale distributed constraint optimization problem (DCOP). Different from the access of local information in the existing algorithms, a new criterion called local stability is defined and used to evaluate which is the next agent whose value needs to be changed. The propose of loc...

We investigate which general results concerning the local stability of steady states of arbitrary chemical reaction networks can be deduced with the Glansdorff–Prigogine stability criterion. Especially, it is proven that the presence of an autocatalytic reaction is not a necessary condition for a violation of the thermodynamic stability condition. It turns out that every reaction with at least ...