Control of quantum systems despite feedback delay

Kenji Kashima, Naoki Yamamoto

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this technical note we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems including quantum spin systems. We utilize a semi-algebraic problem approach to incorporate the structure of density matrices. To show the effectiveness of the result, we derive a globally stabilizing control law for a quantum spin-1/2 systems in the face of feedback delays.

Original languageEnglish
Pages (from-to)876-881
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number4
Publication statusPublished - 2009


  • Delay systems
  • Filtering
  • Quantum control
  • Spin systems
  • Sum of squares

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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