Abstract
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 language | English |
|---|---|
| Pages (from-to) | 876-881 |
| Number of pages | 6 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 54 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2009 |
Keywords
- 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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