Semidefinite relaxation of a class of quadratic integral inequalities

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Title: Semidefinite relaxation of a class of quadratic integral inequalities
Authors: Fantuzzi, G
Wynn, A
Item Type: Conference Paper
Abstract: We propose a novel technique to solve optimization problems subject to a class of integral inequalities whose integrand is quadratic and homogeneous with respect to the dependent variables, and affine in the parameters. We assume that the dependent variables are subject to homogeneous boundary conditions. Specifically, we derive rigorous relaxations of such integral inequalities in terms of semidefinite constraints, so a strictly feasible and near-optimal point for the original problem can be computed using semidefinite programming. Simple examples arising from the stability analysis of partial differential equations illustrate the potential of our method compared to existing techniques.
Issue Date: 29-Dec-2016
Date of Acceptance: 24-Jul-2016
URI: http://hdl.handle.net/10044/1/55093
DOI: https://dx.doi.org/10.1109/CDC.2016.7799221
ISSN: 0743-1546
Publisher: IEEE
Start Page: 6192
End Page: 6197
Journal / Book Title: 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC)
Copyright Statement: © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Conference Name: 55th IEEE Conference on Decision and Control (CDC)
Keywords: Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Operations Research & Management Science
Engineering
ENERGY-DISSIPATION
INCOMPRESSIBLE FLOWS
VARIATIONAL BOUNDS
Publication Status: Published
Start Date: 2016-12-12
Finish Date: 2016-12-14
Conference Place: Las Vegas, NV
Appears in Collections:Faculty of Engineering
Aeronautics



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