On explicit steady - state solutions of Fokker - Planck equationsfor a class of nonlinear feedback systemsRoger
نویسندگان
چکیده
We study the question of existence of steady-state probability distributions for systems perturbed by white noise. We describe a class of nonlinear feedback systems for which an explicit formula for the steady-state probability density can be found. These systems include what has been called monotemperaturic systems in earlier work. We also establish relationships between the steady-state probability densities and Liapunov functions for the corresponding deterministic systems.
منابع مشابه
Asymptotic Properties of Nonlinear Feedback Control Systems Chapter Ii. Quantized Feedback Stabilization
This page is a substitute for the real page 2, the signature page. I am inserting it so that subsequent page numbers will appear on the correct side in the top margin. iii ACKNOWLEDGEMENTS First of all, I would like to express my deep gratitude to my advisor, Professor Roger W. Brockett of Harvard University. His boundless knowledge has made it possible for me to write this thesis, and his unfa...
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