02436nam 2200433 450 991079547290332120230803211635.03-8325-9591-0(CKB)4340000000244076(MiAaPQ)EBC5231165(Au-PeEL)EBL5231165(CaPaEBR)ebr11539725(OCoLC)102180741858a1c68a-1314-48a5-9c90-3edeb0dd2d03(EXLCZ)99434000000024407620180523d2014 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDuality and approximation methods for cooperative optimization and control /Mathias BurgerBerlin :Logos Verlag Berlin,[2014]©20141 online resource (166 pages)PublicationDate: 201402143-8325-3624-8 Long 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.Duality theory (Mathematics)Duality theory (Mathematics)515.782Burger Mathias1540941MiAaPQMiAaPQMiAaPQBOOK9910795472903321Duality and approximation methods for cooperative optimization and control3792851UNINA