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Stability multipliers for memoryless positive nonlinearities: parameterizations based on the nonlinearity graph

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3 Author(s)
Kulkarni, V.V. ; Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO ; Pao, Lucy Y. ; Falb, P.L.

We establish that the class of all multipliers that preserve the positivity of a given memoryless positive nonlinearity can be derived by parameterizing the Zames-Falb multipliers, provided certain quantitative information concerning the nonlinearity graph is available. Further, we extend this result to derive the class of all positivity preserving multipliers for a repeated memoryless positive nonlinearity when such information concerning its graph is available. These results are useful in reducing the conservatism inherent in the prevalent multiplier theoretic stability analysis techniques

Published in:

American Control Conference, 2006

Date of Conference:

14-16 June 2006