We present a practical stability result for dynamical systems depending on a small parameter. This result is applied to a practical stability analysis of fast time-varying systems studied in averaging theory, and of highly oscillatory systems studied by Sussmann and Liu. Furthermore, the problem of practically stabilizing control affine systems with drift is discussed.

Practical stability is of significant practical importance in scientific and engineering problems but less investigated for descriptor systems. In this paper, the concepts of practical stability are developed to descriptor systems based on the idea of the generalized state which stands for the dynamic part of the state. To derive the main results of this paper, a comparison principle is establi...

The purpose of this paper is to present a fast, economical and practical method for mathematical modeling of aerodynamic characteristics of rectangular wing-in-ground effect (WIG). Reynolds averaged Navier-Stokes (RANS) equations were converted to Bernoulli equation by reasonable assumptions. Also Helmbold's equation was developed for calculation of the slope of wing lift coefficient in ground ...

The use of " ideal " optimal test functions in a Petrov-Galerkin scheme guarantees the discrete stability of the variational problem. However, in practice, the computation of the ideal optimal test functions is computationally intractable. In this paper, we study the effect of using approximate, " practical " test functions on the stability of the DPG (discontinuous Petrov-Galerkin) method and ...

We study different types of manipulators’ attractors and propose a motion control method. In our analysis the manipulator’s motion is perturbed and its stability investigated using the nonlinear equations of perturbations and linearized equations for practical control. In order to realize a practical control the common areas of stability for nonlinear and linear models are identified. The maps ...

Stability studies performed by the pharmaceutical industry are only designed to fulfill licensing requirements. Thus, post-dilution or -reconstitution stability data are frequently limited to 24h only for bacteriological reasons regardless of the true chemical stability which could, in many cases, be longer. In practice, the pharmacy-based centralized preparation may require infusions to be mad...

The work of science teachers can be viewed from a variety of perspectives. In this article, teaching is seen as an activity in which teachers deliberate in the practical domain to decide on actions and goals. In the first part of the article, it is argued that, because practical reasoning is similar to scientific reasoning, a model of practical conceptual change can be developed that is analogo...

Repetitive processes are a distinct class of 2D systems of both theoretical and practical interest. The stability theory for these processes originally consisted of two distinct concepts termed asymptotic stability and stability along the pass respectively where the former is a necessary condition for the latter. Recently applications have arisen where asymptotic stability is too weak and stabi...

Repetitive processes are a distinct class of 2D systems of both theoretical and practical interest. The stability theory for these processes currently consists of two distinct concepts termed asymptotic stability and stability along the pass respectively where the former is a necessary condition for the latter. Recently applications have arisen where asymptotic stability is too weak and stabili...

In this paper we consider discrete-time nonlinear systems that are affected, possibly simultaneously, by parametric uncertainties and disturbance inputs. The min-max model predictive control (MPC) methodology is employed to obtain a controller that robustly steers the state of the system towards a desired equilibrium. The aim is to provide a priori sufficient conditions for robust stability of ...