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Networks of Dissipative Systems: Compositional Certification of Stability, Performance, and Safety

✍ Scribed by Murat Arcak, Chris Meissen, Andrew Packard (auth.)


Publisher
Springer International Publishing
Year
2016
Tongue
English
Leaves
105
Series
SpringerBriefs in Electrical and Computer Engineering
Edition
1
Category
Library

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✦ Synopsis


This 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 demonstrates the applicability of theoretical methods to biological networks, vehicle fleets, and Internet congestion control. Rather than tackle the network as a whole β€”an approach that severely limits the ability of existing methods to cope with large numbers of physical componentsβ€” the book develops a compositional approach that derives network-level guarantees from key structural properties of the components and their interactions. The foundational tool in this approach is the established dissipativity theory, which is reviewed in the first chapter and supplemented with modern computational techniques. The book blends this theory with the authors’ recent research efforts at a level that is accessible to graduate students and practising engineers familiar with only the most basic nonlinear systems concepts. Code associated with the numerical examples can be downloaded at extras.springer.com, allowing readers to reproduce the examples and become acquainted with the relevant software.

✦ Table of Contents


Front Matter....Pages i-x
Brief Review of Dissipativity Theory....Pages 1-11
Stability of Interconnected Systems....Pages 13-21
Equilibrium Independent Stability Certification....Pages 23-28
Case Studies....Pages 29-39
From Stability to Performance and Safety....Pages 41-48
Searching Over Subsystem Dissipativity Properties....Pages 49-53
Symmetry Reduction....Pages 55-62
Dissipativity with Dynamic Supply Rates....Pages 63-72
Comparison to Other Input/Output Approaches....Pages 73-81
Back Matter....Pages 83-102

✦ Subjects


Control; Systems Theory, Control; Computer Communication Networks; Communications Engineering, Networks


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