1.33 Lecture 31. Tuesday September 9 2014 (Review finals, Routh table)

Review of material for finals:

1.

not cumulative

2.

state transition

3.

controlability, definitions, short cut \(M\) method. Gramian matrix, LTI and LTV cases. Cayley Hamilton

4.

Duality for finding conditions for stability.

5.

canonical decomposition. Minimal realization.

6.

Hurwitz matrix, Routh table.

7.

Robust stability, Kharitonov polynomials

8.

uncertainty with correlated and uncorrelated parameters in the polynomial.

9.

For robust stability, use lyapunov method.

Rest of lecture, examples on using Routh table. Showing it can shed more light on the system stability more than Hurwitz matrix. For example, it can tell one how many eigenvalues are unstable as well.

Review of future courses offered in the department. ECE 817,730,719. Taking math 521 is important for graduate work also. Optimal control vs. analysis direction of study.