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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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Journal ArticleDOI
TL;DR: In this article, the authors consider a stiff system of nonlinear ordinary differential equations for which we know some but not all of the initial conditions and present an algorithm which determines the unknown initial values in such a way that the solution does not have an initial transient.
Abstract: We consider a stiff system of nonlinear ordinary differential equations for which we know some but not all of the initial conditions. This paper presents an algorithm which determines the unknown initial values in such a way that the solution does not have an initial transient. The algorithm was motivated by a problem from tonospheric physics in which two of the initial conditions are unknown. By physical considerations, the correct solution should not have an initial transient. This requirement allows us to uniquely specify the two unknown initial values.

14 citations

Proceedings ArticleDOI
01 Dec 2012
TL;DR: A distributed state feedback control protocol is proposed that is able to maintain the connectivity of the system and, at the same time, achieve asymptotic tracking of all followers to the output of the leader system.
Abstract: This paper studies the problem of leader-following rendezvous with connectivity preservation for a linear multi-agent system where the leader system is a linear autonomous system and the follower system is a multiple single-integrator system. We propose a distributed state feedback control protocol that is able to maintain the connectivity of the system and, at the same time, achieve asymptotic tracking of all followers to the output of the leader system.

14 citations

Book ChapterDOI
04 Dec 2006
TL;DR: In this paper, a method for finding a collision-free path based on the divide and conquer idea is proposed, which divides space-time into small parts and solves the problems recursively and the combination of the solutions solves the original problem.
Abstract: The mobile computing technology has been rapidly increased in the past decade; however there still exist some important constraints which complicate the use of mobile information systems. The limited resources on the mobile computing would restrict some features that are available on the traditional computing technology. In almost all previous works it is assumed that the moving object cruises within a fixed altitude layer, with a fixed target point, and its velocity is predefined. In addition, accessibility to up-to-date knowledge of the whole mobile users and a global time frame are prerequisite. The lack of two last conditions in a mobile environment is our assumptions. In this article we suggest an idea based on space and time partitioning in order to provide a paradigm that treats moving objects in mobile GIS environment. A method for finding collision-free path based on the divide and conquer idea is proposed. The method is, to divide space-time into small parts and solve the problems recursively and the combination of the solutions solves the original problem. We concentrate here on finding a near optimal collision-free path because of its importance in robot motion planning, intelligent transportation system (ITS), and any mobile autonomous navigation system.

14 citations

Book ChapterDOI
01 Jan 2001
TL;DR: A case-based approach for the selflocalization of autonomous robots based on local visual information of landmarks to determine the position and the orientation of the robot sufficiently enough, despite some strongly incorrect visual information.
Abstract: In this article we present a case-based approach for the selflocalization of autonomous robots based on local visual information of landmarks. The goal is to determine the position and the orientation of the robot sufficiently enough, despite some strongly incorrect visual information. Our approach to solve this problem makes use of case-based reasoning methods.

14 citations

Journal Article
TL;DR: In this article, the authors report a development of an autonomous mobile robot for long distance outdoor navigation in a university campus, which can generate a long distance perceived route map (PRM), a position-based navigation algorithm using PRM, and incremental integration of the robot system by multiple processors and multiple agents.
Abstract: In this paper, we report a development of an autonomous mobile robot for long distance outdoor navigation in our university campus. We propose how to generate a long distance Perceived Route Map (PRM), a position-based navigation algorithm using PRM, and incremental integration of the robot system by multiple processors and multiple agents. Furthermore, we developed an experimental robot system and conducted experiments of autonomous navigation using PRM in our university campus. Finally, from experimental results, we discuss open problems and future work in outdoor navigation.

14 citations


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