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Autonomous system (mathematics)

About: Autonomous system (mathematics) is a research topic. Over the lifetime, 1648 publications have been published within this topic receiving 38373 citations.


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TL;DR: In this article, the integrability of an autonomous system in 3D space with two independent non-trivial symmetry fields is proved, but no additional conditions are imposed on these fields.
Abstract: The problem of integrability conditions for systems of differential equations is discussed. Darboux’s classical results on the integrability of linear non-autonomous systems with an incomplete set of particular solutions are generalized. Special attention is paid to linear Hamiltonian systems. The paper discusses the general problem of integrability of the systems of autonomous differential equations in an n-dimensional space, which admit the algebra of symmetry fields of dimension ⩽ n. Using a method due to Liouville, this problem is reduced to investigating the integrability conditions for Hamiltonian systems with Hamiltonians linear in the momenta in phase space of dimension that is twice as large. In conclusion, the integrability of an autonomous system in three-dimensional space with two independent non-trivial symmetry fields is proved. It should be emphasized that no additional conditions are imposed on these fields.

6 citations

01 Jan 2009
TL;DR: In this article, the authors present autonomous virtual organizations describing their characteristics, effects on quality factors, their building blocks architecture, and challenges, and outline this autonomous model for a virtual organization environment.
Abstract: The rapid advances in communication, information technology, and network technologies have had key role in emerging heterogeneous large-scale distributed systems. Besides, emergence of enterprise modeling and high integration of virtual organizations, proffesional virtual communities, and growth of number of practical cases on different forms of collaborative networks represent major trends and challenges in managing these systems. In a virtual organization, managing partners is crucial. An Autonomous System improves virtual organization functionalities and cope with complexity managemnt. Purpose of this paper is to present autonomous virtual organizations describing their characteristics, effects on quality factors, their building blocks architecture, and challenges. It then outlines this autonomous model for a virtual organization environment.

6 citations

Proceedings Article
02 Oct 2009
TL;DR: The development of a waypoints following system, as a part of the UAV autonomous system, is discussed, developed using the principle of the VOR-hold system (VOR stands for VHF Omni-directional Radio Range).
Abstract: A small UAV is being developed in the Faculty of Mechanical and Aerospace Enginnering, ITB, Indonesia. The UAV system is designed for surveillance missions in a rural area. The limitation of payload space, weight, and power source demands the system to be designed with limited application of sensors and actuators, while it is still required to be able to perform its mission within a predefined measures. In this paper, the development of a waypoints following system, as a part of the UAV autonomous system, is discussed. The system is developed using the principle of the VOR-hold system (VOR stands for VHF Omni-directional Radio Range). The developed waypoint following system plays a key role in keeping the flight path of the UAV during its mission. The implementation of a state feedback for this hold system is studied so that the UAV can track the desired flight path and reject any disturbance which can cause path drifting.

6 citations

01 Jan 2002
TL;DR: Comparisons among bioinspired and conventional approaches revealed better forecasting performances for the evolutionary and connectionist models in real-Time Forecasting.
Abstract: In recent years, bio-inspired methods for problem solving, such as Arti cial Neural Networks (ANNs) or Genetic and Evolutionary Algorithms (GEAs), have gained an increasing acceptance as alternative approaches for forecasting, due to advantages such as nonlinear learning and adaptive search. The present work reports the use of these techniques for Real-Time Forecasting (RTF), where there is a need for an autonomous system capable of fast replies. Comparisons among bioinspired and conventional approaches (e.g., Exponential Smoothing), revealed better forecasting performances for the evolutionary and connectionist models.

6 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202315
202228
202167
202081
2019101
201863