Differences

This shows you the differences between two versions of the page.

--- chaosbook:relax [2011/01/04 20:37]
predrag created "Relaxation for cyclists" chapter
+++ chaosbook:relax [2011/01/04 21:12] (current)
predrag Jeff Moehlis talk at Northwestern Applied Math on control
@@ Line 5: / Line 5: @@
 (ChaosBook.org blog, chapter [[http://chaosbook.org/paper.shtml#relax|Relaxation for cyclists]])  --- //[[predrag.cvitanovic@physics.gatech.edu|Predrag Cvitanovic]] 2011-01-04//
-===== blah blah =====
+===== Section 3: Least action method =====
-==== blah blah blah blah ====
+  * **Predrag 2011-01-03** Heard Jeff Moehlis talk at Northwestern Applied Math on "neural" control. Learned this:
+__Hamilton-Jacobi-Bellman PDEs__ minimize trajectory //time// under a range of time dependent external  "control" inputs //u(t)//. This is a feed-forward, open lop control. Read Bardi, Capuzzo and Dolcetta 1997.
+"arg min" means that the `value function' is minimized under a range of variations of the "argument" //u(t)//.
+For Hodgkin-Huxley they minimize the power of electrical control input. That is done by __Euler-Lagrange equations__, with Lagrange multipliers of form //λ_1(t)(eqs of motion)//, //λ_2(t)(power constraint)//. They solve these by the shooting method.
+==== Subsection ====

channelflow.org