Advances in Engineering Advances in Engineering features breaking research judged by Advances in Engineering advisory team to be of key importance in the Engineering field. Papers are selected from over 10,000 published each week from most peer reviewed journals.
IMA J Math Control Info first published online July 3, 2013.
Getachew K. Befekadu, Vijay Gupta, Panos J. Antsaklis.
Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, USA
Abstract
In this brief paper, an extension of the result of Fujisaki & Befekadu (2009, Reliable decentralized stabilization of multi-channel systems: a design method via dilated Linear Matrix Inequalities (LIMs) and unknown disturbance observers. Int. J. Contr., 82, 2040–2050.) concerning the problem of reliable stabilization for generalized multi-channel systems is given. Specifically, we use a rectangular dilated LMIs framework to provide a relaxed sufficient condition for the reliable stabilization of a multi-channel system both when all of the controllers work together and when one of the controllers ceases to function due to a failure.
