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Propagation of conic model uncertainty in hierarchical systems

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1 Author(s)
Safonov, Michael G. ; Department of Electrical Engineering-Systems, University of Southern California, University Park, Los Angeles, CA 90089-0272

Conic sectors are used for analysis of stability and modeling uncertainty propagation in interconnected systems with a hierarchical structure. For large systems that can be readily decomposed into sparsely interconnected groups subsystems, sub-subsystems, sub-sub-subsystems, etc., analysis is greatly facilitated: formulas for conic uncertainty propagation and stability analysis are applied successively to the various groups, beginning at the bottom of the hierarchy and moving up one level at a time. At each level of the hierarchy the results both test stability and yield tight cone bounds on the modeling uncertainty in terms of the cone parameters at the level immediately below.

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-13 ,  Issue: 4 )