English

Robust Stability of Quantum Systems with a Nonlinear Coupling Operator

Quantum Physics 2012-08-31 v1 Systems and Control Optimization and Control

Abstract

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system coupling operator. Then, the special case of a nominal linear quantum system is considered with non-linear perturbations to the system coupling operator. In this case, a robust stability condition is given in terms of a scaled strict bounded real condition.

Keywords

Cite

@article{arxiv.1208.6061,
  title  = {Robust Stability of Quantum Systems with a Nonlinear Coupling Operator},
  author = {Ian R. Petersen and Valery Ugrinovskii and Matthew R. James},
  journal= {arXiv preprint arXiv:1208.6061},
  year   = {2012}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1203.2676

R2 v1 2026-06-21T21:57:07.402Z