Decomposition and Simultaneous Projection Methods for Convex Feasibility Problems with Application to robustness Analysis of Interconnected Uncertain Systems

作者: Anders Rantzer , Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen

DOI:

关键词: Nonlinear systemUncertain systemsRobustness (computer science)Mathematical optimizationMathematicsRegular polygon

摘要: In this paper a specific class of convex feasibility problems are considered and tailored algorithms to solve introduced. First, the Nonlinear Cimmino Algorithm is reviewed. Then motivated by special structure at hand, modification method proposed. Next, another for solving dual problem provided presented. This leads similar update rules variables as in modified Algorithm. an application proposed on robust stability analysis large scale weakly interconnected systems presented performance methods compared.

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