Stochastic Stability for Markovian Jump Linear Systems Subject to a Crucial Failure Event

This paper is concerned with the stability of discrete-time linear systems subject to random jumps in the parameters, described by an underlying finite-state Markov chain. In the model studied, a stopping time τ Δ is associated with the occurrence of a crucial failure after which the system is brought to a halt for maintenance. The usual stochastic stability concepts and associated results are not indicated, since they are tailored to pure infinite horizon problems. Using the concept named stochastic τ-stability, equivalent conditions to ensure the stochastic stability of the system until the occurrence of τ Δ is obtained. In addition, an intermediary and mixed case for which τ represents the minimum between the occurrence of a fix number N of failures and the occurrence of a crucial failure τ Δ is also considered. Necessary and sufficient conditions to ensure the stochastic τ-stability are provided in this setting that are auxiliary to the main result.

Remote sensing techniques applied to slope failure analysis

The paper evaluates the applicability of products of remote sensing in studies related to the structural conditionings of slope stability in saprolites, usually conducted through field surveys. In this article we use a regional approach concentrating on an area of lane duplication of a major highway. In that area, resistance reduction to stress and the low cohesions of muscovite saprolites - schists and gneiss which are associated to geological discontinuities, all result in inumerous instabilities. The joints and foliations were extracted from satellite images as well as aerial photographs. Following that, the study area was divided into various sectors based on the directions and dips of the foliation. Different relationships between the structures and the slopes were analyzed in order to indicate the most feasible type of slope failure in each sector of analysis. The aim of the study is to subsidize further detailed future research.

Treatment of pulmonary thromboembolism in patients with systemic blood pressure stability and right ventricular dysfunction

Pulmonary thromboembolism (PTE) ranges from incidental, clinically unimportant thromboembolism to massive embolism with sudden death. Its treatment is well established in two groups of patients: heparin for those with normal systemic blood pressure without right ventricular dysfunction (RVD) and thrombolysis for those with RVD and circulatory shock. In an intermediate group of patients with systemic blood pressure stability combined with RVD, which is usually associated with worse outcome, the treatment is controversial. There are authors who strongly suggest thrombolysis while others contraindicate this procedure and recommend anticoagulation with heparin. This is a narrative review that includes clinical trials comparing thrombolysis and heparin for the treatment of PTE patients with systemic blood pressure stability and RVD published since 1973. The results show that there are only four trials on this subject with less than 500 patients. Many PTE patients with systemic blood pressure stability and RVD might benefit from thrombolysis but, on the other hand, the risk for hemorrhagic events may be increased. Large randomized clinical trials are required to clarify this. © 2008 Bentham Science Publishers Ltd.