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• W2065961198 abstract "This paper formulates the extremum seeking control problem for nonlinear dynamical systems which evolve on Riemannian manifolds and presents stability results for a class of numerical algorithms defined in this context. The results are obtained based upon an extension of extremum seeking algorithms in Euclidean spaces and a generalization of Lyapunov stability theory for dynamical systems defined on Rimannian manifolds. We employ local properties of Lyapunov functions to extend the singular perturbation analysis on Riemannian manifolds. Consequently, the results of the singular perturbation on manifolds are used to obtain the convergence of extremum seeking algorithms for dynamical systems on Riemannian manifolds." @default.
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• W2065961198 date "2014-12-01" @default.
• W2065961198 modified "2023-09-25" @default.
• W2065961198 title "Extremum seeking control for nonlinear systems on compact Riemannian manifolds" @default.
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• W2065961198 doi "https://doi.org/10.1109/cdc.2014.7039797" @default.
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