Decomposition of Additive LMIs with Applications in Distributed Analysis of Interconnected LTI Systems. Issue 30 (2022)

• Record Type: Journal Article
• Authors: Jokić, Andrej; Nakić, Ivica
• Is Part Of: IFAC-PapersOnLine. Volume 55:Issue 30(2022)
• Page Start: 480
• Page End: 485
• Publication Date: 2022
• Subjects: linear matrix inequalities -- dissipative dynamical systems -- distributed optimization; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2022.11.099
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In this paper we present a simple technique which can be systematically used to obtain non-conservative decomposition for a class of linear matrix inequalities (LMIs) with an additive structure. By non-conservative decomposition we mean a suitable replacement of an additive LMI with a set of equivalent inequalities which are coupled by common variables. The results are applied on several stability/dissipativity analysis problems to produce analysis LMIs suitable for distributed computation.