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Asymptotology

About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.


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Journal ArticleDOI
TL;DR: In this article, conditions under which solutions of some systems of differential equations are bounded are established and their asymptotic properties are studied under the assumption that the solutions of each system are known.
Abstract: We establish conditions under which solutions of some systems of differential equations are bounded and study their asymptotic properties.

1 citations

Book ChapterDOI
01 Jan 1984

1 citations

Journal ArticleDOI
TL;DR: In this article, a continuation method is applied to a singular perturbation parameter to obtain a new numerical method for computing optimal trajectories, which allows one to use simply calculated reduced order approximations as starting solutions and continue the perturbations until the optimal full-order solution is obtained.
Abstract: A continuation method is applied to a singular perturbation parameter to obtain a new numerical method for computing optimal trajectories. This method allows one to use simply calculated reduced order approximations as starting solutions and continue the perturbation parameter until the optimal full-order solution is obtained. The method does not require the calculation of higher order correction terms nor does it require the perturbation parameter to be small - thus, it has potentially superior convergence properties compared to conventional asymptotic expansions when the perturbation parameter is large. A simple trajectory optimization problem is considered to illustrate the method.

1 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231
20222
20181
201725
201626
201526