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DOE OSTI · 1351223

Singularly Perturbed Lie Bracket Approximation

Durr, Hans-Bernd·Krstic, Miroslav·Scheinker, Alexander·Ebenbauer, Christian
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Abstract

Here, we consider the interconnection of two dynamical systems where one has an input-affine vector field. We show that by employing a singular perturbation analysis and the Lie bracket approximation technique, the stability of the overall system can be analyzed by regarding the stability properties of two reduced, uncoupled systems.

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97 MATHEMATICS AND COMPUTINGApproximation methodsAsymptotic stabilityComputational modelingExtremum seekingIndexesLie bracketsMathematicsStability criteriaTrajectorysingular perturbations

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Durr, Hans-Bernd, Krstic, Miroslav, Scheinker, Alexander, Ebenbauer, Christian. 2015-03-27. Singularly Perturbed Lie Bracket Approximation. https://doi.org/10.1109/tac.2015.2416925

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