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Stability analysis for singularly perturbed systems with time-delays

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Date Issued:
2015
Summary:
Singularly perturbed systems with or without delays commonly appear in mathematical modeling of physical and chemical processes, engineering applications, and increasingly, in mathematical biology. There has been intensive work for singularly perturbed systems, yet most of the work so far focused on systems without delays. In this thesis, we provide a new set of tools for the stability analysis for singularly perturbed control systems with time delays.
Title: Stability analysis for singularly perturbed systems with time-delays.
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Name(s): Yang, Yang, author
Wang, Yuan, Thesis advisor
Florida Atlantic University, Degree grantor
Charles E. Schmidt College of Science
Department of Mathematical Sciences
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Date Created: 2015
Date Issued: 2015
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 128 p.
Language(s): English
Summary: Singularly perturbed systems with or without delays commonly appear in mathematical modeling of physical and chemical processes, engineering applications, and increasingly, in mathematical biology. There has been intensive work for singularly perturbed systems, yet most of the work so far focused on systems without delays. In this thesis, we provide a new set of tools for the stability analysis for singularly perturbed control systems with time delays.
Identifier: FA00004423 (IID)
Degree granted: Dissertation (Ph.D.)--Florida Atlantic University, 2015.
Collection: FAU Electronic Theses and Dissertations Collection
Note(s): Includes bibliography.
Subject(s): Biology -- Mathematical models
Biomathematics
Differentiable dynamical systems
Differential equations, Partial -- Numerical solutions
Global analysis (Mathematics)
Lyapunov functions
Nonlinear theories
Held by: Florida Atlantic University Libraries
Sublocation: Digital Library
Links: http://purl.flvc.org/fau/fd/FA00004423
Persistent Link to This Record: http://purl.flvc.org/fau/fd/FA00004423
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Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.