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math.OC2026
Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems
Robert Vrabel
This paper investigates the control of nonlinear systems using a piecewise linear approximation framework. The proposed approach combines a PID controller with locally linearized m…
math.OC2026
Determinant Dynamics under Low-Rank Perturbations: A Unified Framework for Singular Systems
Robert Vrabel
This paper develops a unified analytical framework for determinant identities under finite-rank perturbations of square matrices that remains valid without invertibility assumption…