Reliability modeling of three-state systems with multiple types of components

2022 ◽  
pp. 1748006X2110697
Author(s):  
Somayeh Ashrafi
Keyword(s):  
Parallel Systems ◽  
Reliability Function ◽  
The State ◽  
Reliability Modeling ◽  
Bivariate Survival ◽  
Joint Reliability ◽  
General Series ◽  
System States ◽  
Theoretical Results

In this paper, a system consisting of three states: perfect functioning, partial functioning, and down is considered. The system is assumed to be composed of several non-identical groups of binary components. The reliability of the system states under various assumptions on the component lifetimes is investigated. For this purpose, first, a new concept of bivariate survival signature (BSS) is introduced. Then, under the assumption that the component lifetimes of each type are exchangeable dependent, representations for the joint reliability function of the state lifetimes are obtained based on the notion of BSS. In the particular case, three-state systems composed of two types of different modules such as general-series (parallel) systems and systems with component-wise redundancy are investigated. Several examples are presented to illustrate the theoretical results.

Reliability modeling of coherent systems with shared components based on sequential order statistics

2018 ◽  
Vol 55 (3) ◽  
pp. 845-861
Author(s):  
S. Ashrafi ◽  
S. Zarezadeh ◽  
M. Asadi
Keyword(s):  
Order Statistics ◽  
Reliability Function ◽  
Failure Model ◽  
Coherent Systems ◽  
Sequential Order ◽  
Birth Process ◽  
Reliability Modeling ◽  
Joint Reliability ◽  
Sequential Order Statistics ◽  
Signature Matrix

Abstract In this paper we are concerned with the reliability properties of two coherent systems having shared components. We assume that the components of the systems are two overlapping subsets of a set of n components with lifetimes X1,...,Xn. Further, we assume that the components of the systems fail according to the model of sequential order statistics (which is equivalent, under some mild conditions, to the failure model corresponding to a nonhomogeneous pure-birth process). The joint reliability function of the system lifetimes is expressed as a mixture of the joint reliability functions of the sequential order statistics, where the mixing probabilities are the bivariate signature matrix associated to the structures of systems. We investigate some stochastic orderings and dependency properties of the system lifetimes. We also study conditions under which the joint reliability function of systems with shared components of order m can be equivalently written as the joint reliability function of systems of order n (n>m). In order to illustrate the results, we provide several examples.

scholarly journals New delay-dependent observer-based control for uncertain stochastic time-delay systems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xiu-feng Miao ◽  
Long-suo Li
Keyword(s):  
Time Delay ◽  
The State ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
Noise Disturbances ◽  
System States ◽  
Delay Dependent ◽  
Stochastic Time

AbstractThis paper considers the problem of estimating the state vector of uncertain stochastic time-delay systems, while the system states are unmeasured. The system under study involves parameter uncertainties, noise disturbances and time delay, and they are dependent on the state. Based on the Lyapunov–Krasovskii functional approach, we present a delay-dependent condition for the existence of a state observer in terms of a linear matrix inequality. A numerical example is exploited to show the validity of the results obtained.

Set-membership filtering for automatic guided vehicles with unknown-but-bounded noises

2021 ◽  
pp. 014233122110436
Author(s):  
Hao Yang ◽  
Yilian Zhang ◽  
Wei Gu ◽  
Fuwen Yang ◽  
Zhiquan Liu
Keyword(s):  
State Estimation ◽  
Estimation Algorithm ◽  
The State ◽  
Estimation Problem ◽  
Filtering Method ◽  
Automatic Guided Vehicles ◽  
Tracking Process ◽  
Set Membership ◽  
Text Filtering ◽  
System States

This paper is concerned with the state estimation problem for an automatic guided vehicle (AGV). A novel set-membership filtering (SMF) scheme is presented to solve the state estimation problem in the trajectory tracking process of the AGV under the unknown-but-bounded (UBB) process and measurement noises. Different from some existing traditional filtering methods, such as Kalman filtering method and [Formula: see text] filtering method, the proposed SMF scheme is developed to provide state estimation sets rather than state estimation points for the system states to effectively deal with UBB noises and reduce the requirement of the sensor precision. Then, in order to obtain the state estimation ellipsoids containing the true states, a set-membership estimation algorithm is designed based on the AGV physical model and S-procedure technique. Finally, comparison examples are presented to illustrate the effectiveness of the proposed SMF scheme for an AGV state estimation problem in the present of the UBB noises.

scholarly journals The relationship between the sovereignty of member states and the supernationality of international organizations

2020 ◽  
pp. 349-353
Author(s):  
Olga Shpakovych ◽  
Sofia Penkovska
Keyword(s):  
International Organizations ◽  
The State ◽  
International Organization ◽  
State Sovereignty ◽  
Member States ◽  
The Relationship ◽  
Theoretical Results ◽  
The Eu

The article presents the result of theoretical and practical study of the relationship between state sovereignty and supranationalityof international organizations. In particular, it is determined that the phenomenon of supranationality of international organizations isderived from state sovereignty and acts as its external law. It has been shown that, in view of this, supranationality is limited becauseit arises through the exercise of sovereignty by states, and, accordingly, is limited by the amount of state sovereignty exercised by states.The relevant mechanism has also been studied on the example of the functioning of the European Union.Regarding the theoretical results, the following should be noted. First, it was proved that despite the different approaches of scho -lars to the understanding of supranationality, definitions of this concept and the separation of its features (properties), in each case,supranationality is a direct realization of state sovereignty. At the same time, the realization of state sovereignty in relation to such pro -perties of international organizations as supranational is primary, and supranationality in this case is derivative. In addition, the phenomenonof supranationality of international organizations due to the fact that it is derived is limited, because supranationality arisesthrough the exercise of sovereignty by states, and, accordingly, is limited by the amount of state sovereignty exercised by states. Thatis why when analyzing the relationship between the supranationality of international organizations and state sovereignty, one cannotconsider the priority of one of the two, because supranationality is in essence a manifestation of state sovereignty.Regarding the practical results, the author considers it appropriate to emphasize that both the regional international organization –the EU was studied, and, at the same time, it was proved that all theoretical provisions were reflected in practice, in particular, envisagedfunctions, goals and the tasks of the studied international organizations are limited in scope by the manifestation of sovereignty shownby states, similar to the regulations issued by organizations. Another indication that the state can exercise its sovereignty in any case isthat there is an effective and transparent procedure for leaving these organizations

The numerical algorithms for discrete Mittag-Leffler functions approximation

2019 ◽  
Vol 22 (1) ◽  
pp. 95-112 ◽  
Author(s):  
Ang Li ◽  
Yiheng Wei ◽  
Zongyang Li ◽  
Yong Wang
Keyword(s):  
Transition Matrix ◽  
State Transition ◽  
Numerical Algorithms ◽  
The State ◽  
State Transition Matrix ◽  
Numerical Implementation ◽  
Science And Engineering ◽  
Implementation Method ◽  
Theoretical Results

Abstract Motivated essentially by the success of the applications of the discrete Mittag-Leffler functions (DMLF) in many areas of science and engineering, the authors present, in a unified manner, a detailed numerical implementation method of the Mittag-Leffler function. With the proposed method, the overflow problem can be well solved. To further improve the practicability, the state transition matrix described by discrete Mittag-Leffler functions are investigated. Some illustrative examples are provided to verify the effectiveness of the proposed theoretical results.

The state of Pb-free solder — A joint reliability overview

2016 ◽  
Author(s):  
Vasu Vasudevan ◽  
Tanner Schulz ◽  
Min Pei ◽  
F. Toth ◽  
A. E. Lucero ◽  
...  
Keyword(s):  
The State ◽  
Joint Reliability ◽  
Free Solder

scholarly journals Performance and stochastic stability of the adaptive fading extended Kalman filter with the matrix forgetting factor

2016 ◽  
Vol 14 (1) ◽  
pp. 934-945
Author(s):  
Cenker Biçer ◽  
Levent Özbek ◽  
Hasan Erbay
Keyword(s):  
Kalman Filter ◽  
State Estimation ◽  
Extended Kalman Filter ◽  
Stochastic Systems ◽  
Estimation Error ◽  
The State ◽  
Forgetting Factor ◽  
The Matrix ◽  
Stochastic Framework ◽  
Theoretical Results

AbstractIn this paper, the stability of the adaptive fading extended Kalman filter with the matrix forgetting factor when applied to the state estimation problem with noise terms in the non–linear discrete–time stochastic systems has been analysed. The analysis is conducted in a similar manner to the standard extended Kalman filter’s stability analysis based on stochastic framework. The theoretical results show that under certain conditions on the initial estimation error and the noise terms, the estimation error remains bounded and the state estimation is stable.The importance of the theoretical results and the contribution to estimation performance of the adaptation method are demonstrated interactively with the standard extended Kalman filter in the simulation part.

scholarly journals Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Ruiping Xu ◽  
Zhen Liu ◽  
Cunchen Gao ◽  
Huimin Xiao
Keyword(s):  
Passive Control ◽  
Sliding Mode ◽  
External Disturbance ◽  
The State ◽  
Linear Matrix ◽  
Neutral Systems ◽  
State Estimate ◽  
Integral Sliding Mode ◽  
Time Varying Delay ◽  
System States

The problem of integral sliding mode control (ISMC) with passivity is investigated for a class of uncertain neutral systems with time-varying delay (NTSTD) and external disturbance. The system states are unavailable. An ISMC strategy is proposed based on the state estimate. By employing a novel sliding functional, a new sufficient criterion of robust asymptotic stability and passivity for both the error system and the sliding mode (SM) dynamic system is derived via linear matrix inequality (LMI) technique. Then, a SM controller is synthesized to guarantee the reachability of the sliding surface predefined in the state estimate space. Finally, a numerical example shows the feasibility and superiority of the obtained result.

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