## COURSE DESCRIPTION

Positive semi-definite matrices and norms, singular value decomposition, MIMO systems, state-space, controllabilty, linear quadratic regulator, dynamic programming solution, Riccati equations, Lyapunov functions and Lyapunov stability theorems, Lyapunov equation and stability condition, linear matrix inequalities.

**Prerequisites:** ELEC3114

**Text Book:** G.C. Goodwin et al., Control system design, Prentice Hall, 2001

## RECENT UPDATE

**[11.04.2011]** Lecture slides are now available!

**[18.04.2011]** See lectures for an alternative derivation of the LQR

**[18.04.2011]** Lecture 8 slides re-uploaded after class with correct LMI on page 17

**[20.04.2011]** Problem sets with solution are now avaliable