LEADER 02436nam 2200433 450 001 9910795472903321 005 20230803211635.0 010 $a3-8325-9591-0 035 $a(CKB)4340000000244076 035 $a(MiAaPQ)EBC5231165 035 $a(Au-PeEL)EBL5231165 035 $a(CaPaEBR)ebr11539725 035 $a(OCoLC)1021807418 035 $a58a1c68a-1314-48a5-9c90-3edeb0dd2d03 035 $a(EXLCZ)994340000000244076 100 $a20180523d2014 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDuality and approximation methods for cooperative optimization and control /$fMathias Burger 210 1$aBerlin :$cLogos Verlag Berlin,$d[2014] 210 4$dİ2014 215 $a1 online resource (166 pages) 300 $aPublicationDate: 20140214 311 $a3-8325-3624-8 330 $aLong description: This thesis investigates the role of duality and the use of approximation methods in cooperative optimization and control. Concerning cooperative optimization, a general algorithm for convex optimization in networks with asynchronous communication is presented. Based on the idea of polyhedral approximations, a family of distributed algorithms is developed to solve a variety of distributed decision problems, ranging from semi-definite and robust optimization problems up to distributed model predictive control. Optimization theory, and in particular duality theory, are shown to be central elements also in cooperative control. This thesis establishes an intimate relation between passivity-based cooperative control and network optimization theory. The presented results provide a complete duality theory for passivity-based cooperative control and lead the way to novel analysis tools for complex dynamic phenomena. In this way, this thesis presents theoretical insights and algorithmic approaches for cooperative optimization and control, and emphasizes the role of convexity and duality in this field. 606 $aDuality theory (Mathematics) 615 0$aDuality theory (Mathematics) 676 $a515.782 700 $aBurger$b Mathias$01540941 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910795472903321 996 $aDuality and approximation methods for cooperative optimization and control$93792851 997 $aUNINA