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...

Introduction In the theory of dynamic programming (Bellman, 1957; Bellman and Dreyfus, 1962), the Bellman principle of optimality was not called into question until Rudd and Blum found a wrong solution for a chemical reaction system (Jackson, 1963; Rudd and Blum, 1962). Although the Bellman principle of optimality is true for almost all practical problems, there are still some problems, both th...

Motivated by the study of a class of large-scale stochastic systems with Markovian switching, this correspondence paper is concerned with the practical stability in the pth mean. By investigating Lyapunov-like functions and the basic comparison principle, some criteria are derived for various types of practical stability in the pth mean of nonlinear stochastic systems. The main contribution of ...

Learning practical nursing skills is an important part of the baccalaureate in nursing. However, many newly qualified nurses lack practical skill proficiency required to ensure safe patient care. The invasive skill peripheral vein cannulation (PVC) is particularly challenging to learn and perform. This study explored conditions influencing nursing students' learning and performance of the techn...

We introduce the minimum description length (MDL) principle, a general principle for inductive inference based on the idea that regularities (laws) underlying data can always be used to compress data. We introduce the fundamental concept of MDL, called the stochastic complexity, and we show how it can be used for model selection. We briefly compare MDL-based model selection to other approaches ...

SSH and AKA are recent, practical protocols for secure connections over an otherwise unprotected network. This paper shows that, despite the use of public-key cryptography, SSH and AKA do not provide authentication as intended. The aws of SSH and AKA can be viewed as the result of their disregarding a basic principle for the design of sound authentication protocols: the principle that messages ...

The synchronization of asynchronous signals can lead to metastable behavior and malfunction of digital circuits. It is believed but not proved that metastability principally cannot be avoided. Confusion exists about its practical importance. This paper shows that metastable behavior can be avoided by usage of quantum synchronizers in principle, but not in practice, and that conventional synchro...

The Minimum Description Length (MDL) principle provides guidance to the fundamental question of determining what a given set of observed data tells us about the underlying data generating machinery. Hence, in the broadest sense the MDL principle relates to the central question of all science, although its most useful applications have been to the more practical problem of tting statistical mode...