Paper Info
Title
Stability Analysis for a Class of Partial Differential Equations via Semidefinite Programming.
Abstract
This paper studies scalar integral inequalities in one-dimensional bounded domains with polynomial integrands. We propose conditions to verify the integral inequalities in terms of differential matrix inequalities. These conditions allow for the verification of the inequalities in subspaces defined by boundary values of the dependent variables. The results are applied to solve integral inequalities arising from the Lyapunov stability analysis of partial differential equations. Examples illustrate the results.
Year
DOI
Venue
2016
10.1109/TAC.2015.2479135
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Polynomials,Stability analysis,Linear matrix inequalities,Asymptotic stability,Mathematical model,Integral equations,Numerical stability
Fourier integral operator,Mathematical optimization,Numerical partial differential equations,Integral equation,Partial differential equation,Mathematics,Numerical stability,Semidefinite programming,Stability theory,Bounded function
Journal
Volume
Issue
ISSN
61
6
0018-9286
Citations 
PageRank 
References 
8
0.55
12
Authors
3
Name
Order
Citations
PageRank
Giorgio Valmorbida110416.87
Mohamadreza Ahmadi2357.12
Antonis Papachristodoulou399090.01