Hilbert-space stability Analysis

Rayane Chadli; Dr. Suzan Jabbar Obaiys Jabbar Obaiys

Hilbert-space stability Analysis

Authors

Rayane Chadli Dept. CST, Faculty of Computer Science and Information Technology (FCSIT), Universiti Malaya
Dr. Suzan Jabbar Obaiys Dept. CST, Faculty of Computer Science and Information Technology (FCSIT), Universiti Malaya

Keywords:

Hilbert Space, Quantum Control, Control System, Stability

Abstract

This work explores the stability of nonlinear dynamical systems in Hilbert space by mapping classical system states into quantum-state representations. Stability is investigated through the convergence and divergence of quantum-state trajectories, providing a potential bridge between classical nonlinear stability analysis and quantum-state dynamics.