Journal ArticleDOI
Singular perturbations for a Mayer variational problem
TLDR
Optimal trajectory and control approximate solution by asymptotic expansion, considering Mayer variational problem solution as mentioned in this paper, was proposed to solve the problem of optimal trajectory and approximate solution.Abstract:
Optimal trajectory and control approximate solution by asymptotic expansion, considering Mayer variational problem solutionread more
Citations
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Journal ArticleDOI
Singular perturbations and order reduction in control theory - An overview
TL;DR: The content of main theorems is presented in a tutorial form aimed at a broad audience of engineers and applied mathematicians interested in control, estimation and optimization of dynamic systems.
Journal ArticleDOI
Singular Perturbations and Time Scales in Guidance and Control of Aerospace Systems: A Survey
Journal ArticleDOI
Singular Perturbations and Order Reduction in Control Theory - An Overview
TL;DR: The content of main theorems on singular perturbations is presented in a tutorial form aimed at a broad audience of engineers and applied mathematicians interested in control, estimation and optimization of dynamic systems.
Journal ArticleDOI
Solution of the minimum time-to-climb problem by matched asymptotic expansions
TL;DR: In this article, the singular perturbation technique was used to obtain an approximate solution to the aircraft minimum time-to-climb problem, which is the same as the one we consider in this paper.
Book ChapterDOI
Aircraft Maneuver Optimization by Reduced-Order Approximation
TL;DR: In this paper, a review of recent work in recasting the energy type of approximation to aircraft flight in terms of singular perturbation theory and in extending this theory to three-dimensional maneuvers is presented.
References
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Book
Asymptotic expansions for ordinary differential equations
TL;DR: Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.
Journal ArticleDOI
Energy climbs, energy turns, and asymptotic expansions
T. N. Edelbaum,H. J. Kelley +1 more
TL;DR: Asymptotic expansions and energy methods applied to three dimensional aircraft maneuvers involving energy climbs and turns are discussed in this paper, where energy climbing and turns involving energy turns are considered.