13 citations · 64 across the 18 of their papers we have counts for
18 papers
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…
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…
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…
A novel criterion for global incremental stability of dynamical systems
Robert Vrabel
In this paper, we establish the sufficient conditions guaranteeing global uniform exponential stability, or at least global asymptotic stability, of all solutions for nonlinear dyn…
Robust adaptive state-feedback control of linear time-varying systems under both potentially unbounded system's modeling uncertainty and external disturbance
Robert Vrabel
The conceptually new approach based on the logarithmic norm to design of robust adaptive state-feedback controller for linear time-varying (LTV) systems under system's modeling unc…
Time-varying vector norm and lower and upper bounds on the solutions of uniformly asymptotically stable linear systems
Robert Vrabel
Based on the eigenvalue idea and the time-varying weighted vector norm in state space we construct here the lower and upper bounds on the solutions of uniformly asymptotically stab…