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Advances and Applications of Multiple Scale Methods in Complex Dynamical Systems.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Advances and Applications of Multiple Scale Methods in Complex Dynamical Systems./
Author:	Awad, Armand Issam.
Description:	1 online resource (178 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
Contained By:	Dissertation Abstracts International79-01B(E).
Subject:	Aerospace engineering. -
Online resource:	click for full text (PQDT)
ISBN:	9780355123586

Advances and Applications of Multiple Scale Methods in Complex Dynamical Systems.
Awad, Armand Issam.

Advances and Applications of Multiple Scale Methods in Complex Dynamical Systems. - 1 online resource (178 pages)

Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

High dimensionality, numerical stiffness, and complex subsystem interactions pose fundamental challenges for the design, analysis, and certification of modern aerospace systems. This dissertation addresses these issues by leveraging multiple timescale behaviour to formulate mathematically rigorous reduced-order models that are then used to simplify design, treat numerical stiffness, and provide conditions under which desired behaviour is guaranteed for the original system. The approach is based on concepts of asymptoticity and singular perturbation theory.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355123586Subjects--Topical Terms:

686400
Aerospace engineering.
Index Terms--Genre/Form:

554714
Electronic books.

Advances and Applications of Multiple Scale Methods in Complex Dynamical Systems.
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100 1 $a Awad, Armand Issam. $3 1179203
245 1 0 $a Advances and Applications of Multiple Scale Methods in Complex Dynamical Systems.
264 0 $c 2017
300 $a 1 online resource (178 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
500 $a Adviser: Anshu Narang-Siddarth.
502 $a Thesis (Ph.D.) $c University of Washington $d 2017.
504 $a Includes bibliographical references
520 $a High dimensionality, numerical stiffness, and complex subsystem interactions pose fundamental challenges for the design, analysis, and certification of modern aerospace systems. This dissertation addresses these issues by leveraging multiple timescale behaviour to formulate mathematically rigorous reduced-order models that are then used to simplify design, treat numerical stiffness, and provide conditions under which desired behaviour is guaranteed for the original system. The approach is based on concepts of asymptoticity and singular perturbation theory.
520 $a First, classical multiple scale methods are generalized to analyze classes of systems that depend on a combination of continuous time and/or discrete clocks. It is shown how discrete clock rates cause multiple timescale behaviour to occur in these systems, and corresponding reduced-order models are developed along with asymptotic error bounds on the resulting approximations.
520 $a Next, a new technique is developed for efficiently and accurately propagating the trajectories of satellites that are subject to non-conservative forces such as atmospheric drag and solar radiation pressure. Importantly, the approach gives explicit insight into the effects of parametric uncertainties in these non-conservative forces on the resulting trajectory solution.
520 $a Finally, reduced-order design and analysis is investigated for several problems in networked dynamics systems. In particular, conditions are provided under which the dynamics of the agents can be designed separately from the dynamics of the network process. Further, quantitative bounds are established on the underlying graph topology and on the agents' communication rate that guarantee desirable behaviour when these separately designed dynamics are coupled together.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Aerospace engineering. $3 686400
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0538
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Washington. $b Aeronautics and Astronautics. $3 1178958
773 0 $t Dissertation Abstracts International $g 79-01B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10289760 $z click for full text (PQDT)