A new extremum seeking design using high-order Lie bracket approximations achieves exponential convergence for polynomial-like cost functions of degree >2 without requiring Hessian information at the minimum.
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2026 2verdicts
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A scalable iterative Gramian synthesis method for nonlinear control-affine systems achieves rapid convergence and high-precision minimum energy control on systems up to 100 dimensions, with performance governed by nonlinearity and controllability rather than dimensionality.
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Extremum seeking with exponential convergence via high-order Lie bracket approximations
A new extremum seeking design using high-order Lie bracket approximations achieves exponential convergence for polynomial-like cost functions of degree >2 without requiring Hessian information at the minimum.
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Scalable iterative Gramian synthesis for control-affine systems
A scalable iterative Gramian synthesis method for nonlinear control-affine systems achieves rapid convergence and high-precision minimum energy control on systems up to 100 dimensions, with performance governed by nonlinearity and controllability rather than dimensionality.