

1. B.Tech Applied Mathematics Calculus of Variations
2. M.Tech Artificial Neural Networks
3. PhD Level Courses : Mathematical Theory of Control
Assignment : MA221 – Calculus of Variations (IV Semester)
Date of Submission : 25th March 2014
Lecture Notes – 1 : Calculus of Variations
This Odd Semester (JulyOctber, 2015), I am teaching the MTech Course
" Mathematics for Control Theory"
The course involves:
1. Advanced Linear Algebra
2. Normed Linear Spaces
4. Operators on Normed Linear Spaces
5. Hilbert Spaces
6. Controllability and Observability  Operator Theoretic Approach
7. Generalized Inverses abd computation of steerring controls for linear systems.
References:
1. R W Brocket : Linear Control Systems
2. S D Sontag: Mathematical Theory of Control