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
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;
Conference_Titel :
Control, Instrumentation and Automation (ICCIA), 2011 2nd International Conference on
Conference_Location :
Shiraz
Print_ISBN :
978-1-4673-1689-7
DOI :
10.1109/ICCIAutom.2011.6356735
