DocumentCode
577121
Title
Lyapunov stability analysis of special class of PDE systems
Author
Shirinabadi, H. ; Talebi, H.A.
Author_Institution
Dept. of Electr. Eng., Amirkabir Univ. of Technol., Tehran, Iran
fYear
2011
fDate
27-29 Dec. 2011
Firstpage
648
Lastpage
653
Abstract
In this paper, stability analysis for Partial Differential Equation systems is investigated using lyapunov stability theorem. Both parabolic and hyperbolic PDEs as representatives of heat and wave equations will be considered, respectively. we also consider Ginzburg-Landau equation a kind of complex valued PDE. The condition for asymptotic stability will be obtained using the presented analysis.
Keywords
Lyapunov methods; asymptotic stability; linear matrix inequalities; partial differential equations; Ginzburg-Landau equation; Lyapunov stability analysis; PDE systems; asymptotic stability; complex valued PDE; heat equations; hyperbolic PDE; parabolic PDE; partial differential equation systems; wave equations; Asymptotic stability; Boundary conditions; Equations; Heating; Lyapunov methods; Mathematical model; Stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Control, Instrumentation and Automation (ICCIA), 2011 2nd International Conference on
Conference_Location
Shiraz
Print_ISBN
978-1-4673-1689-7
Type
conf
DOI
10.1109/ICCIAutom.2011.6356735
Filename
6356735
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