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What is Stability

Latin American Women and Research Contributions to the IT Field
The capacity of any system to recover its original state.
Published in Chapter:
Railway Engineering: Timetable Planning and Control, Artificial Intelligence and Externalities
Aranzazu Berbey Alvarez (Universidad Tecnológica de Panamá, Panama) and Jessica Guevara-Cedeño (Universidad Tecnológica de Panamá, Panama)
Copyright: © 2021 |Pages: 25
DOI: 10.4018/978-1-7998-7552-9.ch017
Abstract
This chapter is a case study of the dissemination of railway engineering research in Latin America developed by a railway engineering research group. The leader of the group is a female researcher. The authors aim to inspire to other women researchers in Latin American and Caribbean (LAC) countries who are trying to develop research in IT areas, many times facing serious difficulties, incomprehension, and great challenges. This chapter is divided in set sections like introduction, background, development of railway engineering research. This third section is divided into subsections like timetable planning and trains control, characterization of Panama metro line 1, dwelling times, fuzzy logic, artificial intelligence, social-economics railway externalities, and environmental railway externalities. The fourth section presents the results of the relationship between research activity and teaching of railway engineering obtained in this case study. Finally, the authors present a brief vision about future and emerging regional trends about railway engineering projects.
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More Results
Pharmaceutical Nanosystems and Their Quality Control
Understood as the ability of a system to remain unchanged over time.
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Business Model Development for Stability, Sustainability, and Resilience
A system’s ability to overcome the effects of disturbances and attain an equilibrium state.
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Chaotic Neural Networks
The study of repellers and attractors is done through stability analysis, which quantifies how infinitesimal perturbations in a given trajectory performed by the system are either attenuated or amplified with time.
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A Pandemic Avian Influenza Mathematical Model
The condition of being resistant to changes and perturbations.
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Food Security and Self-Sufficiency as a Basis for National Security and Sovereignty: Evidence From Russia
To be food secure, a population, household or individual must have access to adequate food at all times. They should not risk losing access to food as a consequence of sudden shocks (e.g. an economic or climatic crisis) or cyclical events (e.g. seasonal food insecurity). The concept of stability can, therefore, refer to both the availability and access dimensions of food security.
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Robust Unknown Input Observer-Based Fast Adaptive Fault Estimation: Application to Mobile Robot
The ability of properties to converge to existence conditions. It is provided by a parameter-dependent Lyapunov function ( Rouche et al, 1977 ).
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Managing Contradictory Tensions in Agile Distributed Development: An Ambidextrous Approach
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An Evolving System in the Text Classification Problem
This is a characteristic of a system to retain the knowledge acquired without suddenly forget them. However this is not a guarantee of learn new information.
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Algorithms to Determine Stable Connected Dominating Sets for Mobile Ad Hoc Networks
A characteristic of communication topologies related to the duration of existence of the topology; the longer the topology exists, the more stable it is.
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The Rise of Credit Default Swaps and Its Implications on Financial Stability
States a condition in which financial intermediaries, markets and market infrastructures are resistant to financial shocks and operating smoothly.
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Water, Food Security, and Trade in Sub-Saharan Africa
The ability of a country to withstand risks and uncertainty relating to the availability of and access to food.
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Distributed Parameter Systems Control and Its Applications to Financial Engineering
A property of a dynamical system denoting that the state vector of the system converges to a specific point in the state space, which is called equilibrium or to a bounded region in the state-space which is called domain of attraction and remains there.
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Modeling, Design, and Applications of the Gas Sensors Based on Graphene and Carbon Nanotubes
The ability of a gas sensor to keep reproducible performance in a specific period of time of parameters such as sensitivity, selectivity, amplitude and form of response, and recovery time.
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Graph Intersection-Based Benchmarking Algorithm for Maximum Stability Data Gathering Trees in Wireless Mobile Sensor Networks
A characteristic of data gathering trees related to the duration of existence of the tree; the longer the duration of existence, the more stable is the data gathering tree.
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Distributed Parameter Systems Control and Its Applications to Financial Engineering
A property of a dynamical system denoting that the state vector of the system converges to a specific point in the state space, which is called equilibrium or to a bounded region in the state-space which is called domain of attraction and remains there.
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Network Modelling on Tropical Diseases vs. Climate Change
This is a required behavior of parametric solution curves in neighborhoods of an equilibrium points.
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Neural Networks and Equilibria, Synchronization, and Time Lags
Qualitative property of the solution of a system with the significance of the limitation of the perturbations effect on the considered solution viewed as basic. Among all kinds of stability (bounded input/bounded output, Lagrange stability, Birkhoff stability, input-to-state stability) the stability in the sense of Lyapunov - with respect to the initial conditions, viewed as incorporating the effect of short-period perturbations - is the most widely used; it means that sufficiently small deviations in the initial condition (state) will result in arbitrarily small deviations in the current state at all following moments. Rigorously, the basic solution of (3) is called stable in the sense of Lyapunov if, for any arbitrarily small and any there exists some sufficiently small such that if , then for all . If in the above definition is independent of the initial moment the stability is called uniform; from the point of view of the practice, this is the more important stability notion of stability. It is also a necessary condition for uniform asymptotic stability (see above).
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