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Primal and dual criteria for robust stability applied to large scale systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2012 (English)In: Distributed Decision Making and Control, Springer, 2012, Vol. 417, 3-25 p.Chapter in book (Refereed)
Abstract [en]

Primal and dual formulations of stability criteria based on multipliers will be discussed. The foundation for multiplier-based stability analysis is the use of a convex cone of multipliers to characterize the uncertainty in a system. The primal and dual stability criteria are formulated as convex feasibility tests involving the nominal dynamics and multipliers from the cone and the polar cone, respectively. The motivation for introducing the dual is that it provides additional insight into the stability criterion and that it is sometimes easier to use than the primal. The case considered in this chapter is that of uncertainty as it represents the interconnection of a complex network. The multipliers are used to describe characteristic properties of the network such as the spectral location or the structure of the underlying graph.

Place, publisher, year, edition, pages
Springer, 2012. Vol. 417, 3-25 p.
Series
Lecture Notes in Control and Information Sciences, ISSN 0170-8643 ; 417
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-214657DOI: 10.1007/978-1-4471-2265-4_1Scopus ID: 2-s2.0-85028886958ISBN: 9781447122647 (print)OAI: oai:DiVA.org:kth-214657DiVA: diva2:1142751
Note

QC 20170920

Available from: 2017-09-20 Created: 2017-09-20 Last updated: 2017-09-20Bibliographically approved

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