Submodularity in Dynamics and Control of Networked Systems


Submodularity in Dynamics and Control of Networked Systems
Authors: Andrew Clark
Year: 2016
Publisher: Springer
Language: English
ISBN 13: 9783319269757
ISBN 10: 3319269755
Categories: Computers, Hardware
Pages: 320 / 319

Availability: 5000 in stock

SKU: 9783319269757 Category:

Submodularity in Dynamics and Control of Networked Systems Andrew Clark, Basel Alomair, Linda Bushnell, Radha Poovendran
Foreword by John Baillieul
This book presents a framework for the control of networked systems utilizing submodular optimization techniques. The main focus is on selecting input nodes for the control of networked systems, an inherently discrete optimization problem with applications in power system stability, social influence dynamics, and the control of vehicle formations. The first part of the book is devoted to background information on submodular functions, matroids, and submodular optimization, and presents algorithms for distributed submodular optimization that are scalable to large networked systems.In turn, the second part develops a unifying submodular optimization approach to controlling networked systems based on multiple performance and controllability criteria. Techniques are introduced for selecting input nodes to ensure smooth convergence, synchronization, and robustness to environmental and adversarial noise. Submodular optimization is the first unifying approach towards guaranteeing both performance and controllability with provable optimality bounds in static as well as time-varying networks. Throughout the text, the submodular framework is illustrated with the help of numerical examples and application-based case studies in biological, energy and vehicular systems.The book effectively combines two areas of growing interest, and will be especially useful for researchers in control theory, applied mathematics, networking or machine learning with experience in submodular optimization but who are less familiar with the problems and tools available for networked systems (or vice versa). It will also benefit graduate students, offering consistent terminology and notation that greatly reduces the initial effort associated with beginning a course of study in a new area. Categories:
Computers – Hardware
21 220
ISBN 10:
ISBN 13:
Communications and Control Engineering
50 MB


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Submodularity in Dynamics and Control of Networked Systems

Availability: 5000 in stock