engleski

Decomposition of Additive LMIs with Applications in Distributed Analysis of Interconnected LTI Systems

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.

linear matrix inequalities, dissipative dynamical systems, distributed optimization

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