04995nam 22006975 450 991025420290332120220411234743.03-319-26977-110.1007/978-3-319-26977-1(CKB)3780000000094085(EBL)4201526(SSID)ssj0001597448(PQKBManifestationID)16297331(PQKBTitleCode)TC0001597448(PQKBWorkID)14885811(PQKB)10440654(DE-He213)978-3-319-26977-1(MiAaPQ)EBC4201526(PPN)190885513(EXLCZ)99378000000009408520151221d2016 u| 0engur|n|---|||||txtccrSubmodularity in dynamics and control of networked systems /by Andrew Clark, Basel Alomair, Linda Bushnell, Radha Poovendran1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (220 p.)Communications and Control Engineering,0178-5354Description based upon print version of record.3-319-26975-5 Includes bibliographical references at the end of each chapters and index.Part I: Submodular Functions and Optimization -- Submodular Functions and Matroids -- Centralized Submodular Maximization -- Distributed Submodular Maximization -- Submodularity in Dynamics and Control -- Background on Control of Networked Systems -- Submodular Optimization for Smooth Convergence in Networked Systems -- Selecting Catalyst Nodes for Synchronization -- Input Selection for Robustness to Noise -- Input Node Selection under Noise Injection Attacks -- Input Node Selection for Joint Performance and Controllability.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.Communications and Control Engineering,0178-5354Control engineeringSystem theoryElectrical engineeringControl and Systems Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/T19010Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Communications Engineering, Networkshttps://scigraph.springernature.com/ontologies/product-market-codes/T24035Control engineering.System theory.Electrical engineering.Control and Systems Theory.Systems Theory, Control.Communications Engineering, Networks.511.6Clark Andrewauthttp://id.loc.gov/vocabulary/relators/aut394529Alomair Baselauthttp://id.loc.gov/vocabulary/relators/autBushnell Lindaauthttp://id.loc.gov/vocabulary/relators/autPoovendran Radhaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254202903321Submodularity in Dynamics and Control of Networked Systems2514060UNINA