Titlebook: Networks of Dissipative Systems; Compositional Certif Murat Arcak,Chris Meissen,Andrew Packard Book 2016 The Author(s) 2016 Interconnected

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2191-8112 ummary.Demonstrates the applicability of theoretical methodsThis book addresses a major problem for today’s large-scale networked systems: certification of the required stability and performance properties using analytical and computational models. On the basis of illustrative case studies, it demon

Moderate

Searching Over Subsystem Dissipativity Properties,and combine the stability and performance tests with a simultaneous search for feasible subsystem dissipativity properties. We employ the alternating direction method of multipliers (ADMM) algorithm, a powerful distributed optimization technique, to decompose and solve this problem.

Airtight

Comparison to Other Input/Output Approaches,on spaces. We start with classical input/output techniques, and next relate the dynamic supply rates of Chap. . to integral quadratic constraints (IQCs). We conclude by pointing to further results that are complementary to those presented in the book.

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Stability of Interconnected Systems,rther elaborating on passivity, the last section identifies special interconnection structures where the feasibility of the LMI has analytical characterizations that give insight into the interplay between interconnection structure and stability properties.

英寸

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Symmetry Reduction, are rich in symmetries, since they possess few orbits. We further propose a class of transformations that enrich the symmetries in the interconnection. As a special case, we revisit cyclic interconnections and derive a stability test that was presented without proof in Chap. ..

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Dissipativity with Dynamic Supply Rates, present a similar generalization of the notion of equilibrium-independent dissipativity from Chap. ., and extend the ADMM algorithm from Chap. . to search over supply rates that depend on filtered inputs and outputs.

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