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math.OC2025
Concave Comparison Functions for Accelerating Constrained Lyapunov Decay
Shuyuan Fan, Guanru Pan, Herbert Werner
What limits how fast a Lyapunov function can decay under input bounds? We address this question by showing how the shape of Lyapunov comparison functions governs guaranteed decay f…
math.OC2022★ 9 cited
NMPC in Active Subspaces: Dimensionality Reduction with Recursive Feasibility Guarantees
Guanru Pan, Timm Faulwasser
Dimensionality reduction of decision variables is a practical and classic method to reduce the computational burden in linear and Nonlinear Model Predictive Control (NMPC). Availab…
math.OC2022
Behavioral Theory for Stochastic Systems? A Data-driven Journey from Willems to Wiener and Back Again
Timm Faulwasser, Ruchuan Ou, Guanru Pan +2
The fundamental lemma by Jan C. Willems and co-workers, which is deeply rooted in behavioral systems theory, has become one of the supporting pillars of the recent progress on data…