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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.OC2024
Scalable computation of input-normal/output-diagonal balanced realization for control-affine polynomial systems
Nicholas A. Corbin, Arijit Sarkar, Jacquelien M. A. Scherpen +1
We present a scalable tensor-based approach to computing input-normal/output-diagonal nonlinear balancing transformations for control-affine systems with polynomial nonlinearities.…
math.OC2024
Computing Solutions to the Polynomial-Polynomial Regulator Problem
Nicholas A. Corbin, Boris Kramer
We consider the optimal regulation problem for nonlinear control-affine dynamical systems. Whereas the linear-quadratic regulator (LQR) considers optimal control of a linear system…