Dan Yamins
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Engineering Sciences 203 was an introduction to stochastic control theory.   We covered Poisson counters, Wiener processes, Stochastic differential conditions, Ito and Stratanovich calculus, the Kalman-Bucy filter and problems in nonlinear estimation theory.  

To help students at the beginning of the course, I put together a review of some material from linear control and estimation theory:
Introduction to Linear Control Theory
File Size: 60 kb
File Type: pdf
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The Hamilton-Jacobi-Bellman Theorem
File Size: 54 kb
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Here is a summary of the core material from the course:
Introduction to Stochastic Differential Equations
File Size: 6599 kb
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Here are Roger Brockett's excellent notes on the subject: 
notes_on_stochastic_control.pdf
File Size: 973 kb
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And some additional material on more advanced topics:
The Equipartition Theorem of Statistical Mechanics via Stochastic Differential Equations
File Size: 33 kb
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Derivation of the Conditional Density Equation With Correlated Noise Components
File Size: 2034 kb
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