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math.OC2026
Nonlinear Feedback Control in High Dimensions using the Polynomial-Polynomial Regulator
Nicholas A. Corbin, Boris Kramer
We consider the problem of computing Taylor approximations to the optimal feedback law and value function for infinite-horizon finite-dimensional nonlinear optimal control problem-…
math.OC2026
Nonlinear balanced truncation model reduction through scalable Taylor series
Nicholas A. Corbin, Boris Kramer
The theory of nonlinear balanced truncation provides a system-theoretic framework for model reduction that preserves important properties such as stability, controllability, and ob…
math.OC2026
Reachability Analysis for Design Optimization
Steven Nguyen, Jorge Cortés, Boris Kramer
We present an approach to approximate reachable sets for linear systems with bounded L-infinity controls in finite time. Our first approach investigates the boundaries of these set…