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• W1530960252 abstract "We consider nonlinear systems with polynomial vector fields and present two algorithms based on sum of squares programming, that may answer system theoretic questions. The first algorithm provides a bound for the reachable set of a system driven by a unit-energy disturbance, while the second synthesizes a polynomial state feedback controller to enlarge the provable region of attraction. We also outline a variant of the second algorithm for handling systems with input saturation. Both algorithms are demonstrated using two-state nonlinear systems." @default.
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• W1530960252 date "2004-06-03" @default.
• W1530960252 modified "2023-10-13" @default.
• W1530960252 title "Some controls applications of sum of squares programming" @default.
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• W1530960252 doi "https://doi.org/10.1109/cdc.2003.1272309" @default.
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