LEADER 04995nam 22006975 450 001 9910254202903321 005 20220411234743.0 010 $a3-319-26977-1 024 7 $a10.1007/978-3-319-26977-1 035 $a(CKB)3780000000094085 035 $a(EBL)4201526 035 $a(SSID)ssj0001597448 035 $a(PQKBManifestationID)16297331 035 $a(PQKBTitleCode)TC0001597448 035 $a(PQKBWorkID)14885811 035 $a(PQKB)10440654 035 $a(DE-He213)978-3-319-26977-1 035 $a(MiAaPQ)EBC4201526 035 $a(PPN)190885513 035 $a(EXLCZ)993780000000094085 100 $a20151221d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSubmodularity in dynamics and control of networked systems /$fby Andrew Clark, Basel Alomair, Linda Bushnell, Radha Poovendran 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (220 p.) 225 1 $aCommunications and Control Engineering,$x0178-5354 300 $aDescription based upon print version of record. 311 $a3-319-26975-5 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aPart 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. 330 $aThis book presents a framework for the control of networked systems utilizing submodular optimization techniques. The main focus is on selecting input nodes for the control of networked systems, an inherently discrete optimization problem with applications in power system stability, social influence dynamics, and the control of vehicle formations. The first part of the book is devoted to background information on submodular functions, matroids, and submodular optimization, and presents algorithms for distributed submodular optimization that are scalable to large networked systems. In turn, the second part develops a unifying submodular optimization approach to controlling networked systems based on multiple performance and controllability criteria. Techniques are introduced for selecting input nodes to ensure smooth convergence, synchronization, and robustness to environmental and adversarial noise. Submodular optimization is the first unifying approach towards guaranteeing both performance and controllability with provable optimality bounds in static as well as time-varying networks. Throughout the text, the submodular framework is illustrated with the help of numerical examples and application-based case studies in biological, energy and vehicular systems. The book effectively combines two areas of growing interest, and will be especially useful for researchers in control theory, applied mathematics, networking or machine learning with experience in submodular optimization but who are less familiar with the problems and tools available for networked systems (or vice versa). It will also benefit graduate students, offering consistent terminology and notation that greatly reduces the initial effort associated with beginning a course of study in a new area. 410 0$aCommunications and Control Engineering,$x0178-5354 606 $aControl engineering 606 $aSystem theory 606 $aElectrical engineering 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aCommunications Engineering, Networks$3https://scigraph.springernature.com/ontologies/product-market-codes/T24035 615 0$aControl engineering. 615 0$aSystem theory. 615 0$aElectrical engineering. 615 14$aControl and Systems Theory. 615 24$aSystems Theory, Control. 615 24$aCommunications Engineering, Networks. 676 $a511.6 700 $aClark$b Andrew$4aut$4http://id.loc.gov/vocabulary/relators/aut$0394529 702 $aAlomair$b Basel$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aBushnell$b Linda$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aPoovendran$b Radha$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254202903321 996 $aSubmodularity in Dynamics and Control of Networked Systems$92514060 997 $aUNINA