Lyapunov stability criteria for zonal adaptive-optics systems
Optics Letters, Vol. 23, Issue 8, pp. 570-572 (1998)
http://dx.doi.org/10.1364/OL.23.000570
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Abstract
Lyapunov stability criteria are derived for a first-order closed-loop adaptive-optics servo system, resulting in a linear matrix equation that includes the system geometry, servo parameters, and wave-front reconstruction matrix. It is demonstrated that instability zones depend on the choice of matrix estimator and the servo-loop gain. Divergence of the error propagator gives results that are consistent with the Lyapunov equation. The significance of these results is discussed.
© 1998 Optical Society of America
[of America ]
OCIS Codes
(000.3870) General : Mathematics
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
Citation
Walter J. Wild, "Lyapunov stability criteria for zonal adaptive-optics systems," Opt. Lett. 23, 570-572 (1998)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-23-8-570
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