3 papers
math.OC2026
A novel switched systems approach to nonconvex optimisation
Joel Ferguson, Saeed Ahmed, Juan E. Machado +2
We develop a novel switching dynamics that converges to the Karush-Kuhn-Tucker (KKT) point of a nonlinear optimisation problem. This new approach is particularly notable for its lo…
eess.SY2025
On Differential Controllability and Observability Functions
Yu Kawano, Bart Besselink, Jacquelien M. A. Scherpen
Differential balancing theory for nonlinear model reduction relies on differential controllability and observability functions. In this paper, we further investigate them from two…
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.…