3 papers
quant-ph2026
Model-Free Quantum Stabilization via Finite-Difference Lyapunov Control
Robert Vrabel
We develop a model-free framework for stabilizing quantum states using only empirical finite-difference evaluations of a measurement-derived Lyapunov observable. The controller req…
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…