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Titlebook: Submodularity in Dynamics and Control of Networked Systems; Andrew Clark,Basel Alomair,Radha Poovendran Book 2016 Springer International P

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书目名称Submodularity in Dynamics and Control of Networked Systems
编辑Andrew Clark,Basel Alomair,Radha Poovendran
视频video
概述Addresses key design criteria for networked systems within a unifying analytical framework.Introduces submodular functions and optimization, developing them to be scalable for large-scale systems and
丛书名称Communications and Control Engineering
图书封面Titlebook: Submodularity in Dynamics and Control of Networked Systems;  Andrew Clark,Basel Alomair,Radha Poovendran Book 2016 Springer International P
描述.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
出版日期Book 2016
关键词Complex Networks; Control over Lossy Networks; Discrete Optimization; Network Synchronization; Networked
版次1
doihttps://doi.org/10.1007/978-3-319-26977-1
isbn_softcover978-3-319-80051-6
isbn_ebook978-3-319-26977-1Series ISSN 0178-5354 Series E-ISSN 2197-7119
issn_series 0178-5354
copyrightSpringer International Publishing Switzerland 2016
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Distributed Submodular Maximizationconstrained nodes. This chapter presents distributed algorithms for submodular maximization, including distributed implementations of greedy and exchange-based local search algorithms. The optimality guarantees and performance of each scheme are analyzed and compared to the best centralized algorith
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Input Selection for Robustness to Noiseevoted to minimizing the impact of link noise on networked systems via input selection. Network coherence metrics for quantifying the impact of noise in networked systems are defined. Convex relaxation techniques for minimizing errors due to link noise are discussed. A submodular optimization approa
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Resilience to Link Noise Injection Attackst intelligent attackers. This chapter develops a game-theoretic framework for modeling noise injection attacks and mitigating such attacks via input selection. Two cases are considered, namely selecting a fixed input set to minimize the worst-case error due to noise, and selecting a time-varying inp
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Joint Performance and Controllability of Networked Systemstimization of performance and controllability. Standard conditions for controllability are discussed, including matrix pencil, controllability Gramian, and graph-theoretic conditions. The main contribution of this chapter is a formulation of controllability conditions as matroid constraints, enablin
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Emerging Topics: Submodularity in Energy Systemse coming decades, creating a need for efficient real-time control algorithms with provable guarantees. This chapter is devoted to emerging applications of submodularity to control of energy systems. Possible applications of submodularity are presented for three critical problems in power system stab
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