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# |
date |
topics |
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1 |
Tuesday Sept. 3 |
Introduction. Mechanical system to ODE to state space |
|
2 |
Thursday Sept. 5 |
discrete time state equation, into to nonlinear state space |
|
3 |
Tuesday Sept. 9 |
more non-linear state space, linearization, electric circuit, Laplace transform |
|
4 |
Thursday Sept. 11 |
State space realization |
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5 |
Tuesday Sept. 16 |
State space realization, Mason rules and examples using it. |
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6 |
Thursday Sept. 18 |
Realization theorem, MIMO, state space feedback |
|
7 |
Tuesday Sept. 23 |
controllability, observability, Mapping using T |
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8 |
Thursday Sept. 25 |
Pole assignment, design using state space feedback |
|
9 |
Tuesday Sept. 30 |
Separation theorem, Observer design |
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10 |
Thursday Oct. 2 |
No lecture |
|
11 |
Tuesday Oct. 7 2:30 |
Vector spaces preliminaries, norms, piecewise and uniform convergence |
|
12 |
Tuesday Oct. 7 6:00 |
first midterm |
|
13 |
Thursday Oct. 9 |
Norms, convergence |
|
14 |
Tuesday Oct. 14 |
More on convergence |
|
15 |
Thursday Oct. 16 |
More on convergences, 4 lemmas |
|
16 |
Tuesday Oct. 21 |
Solution of state space using fundamental matrix, its properties |
|
17 |
Thursday Oct. 23 |
How to determine \(e^{At}\), LTI vs. LTV |
|
18 |
Tuesday Oct. 28 |
Solving state equation |
|
19 |
Thursday Oct. 30 |
Start of physical controllability, linear independence of time vectors |
|
20 |
Tuesday Nov 4 |
More on controllability LTV |
|
21 |
Thursday Nov 6 |
Analytic functions, M test for controllability, LTI |
|
22 |
Thursday Nov 6, 6pm |
second exam |
|
23 |
Tuesday Nov 11 |
No class |
|
24 |
Thursday Nov 13 |
Controllability of LTV, Cayley Hamilton, differential Controllability |
|
25 |
Tuesday Nov 18 |
Observability of LTVm duel system, transition matrix, Canonical decomposition |
|
26 |
Thursday Nov 20 |
More on Canonical decomposition, starting stability |
|
27 |
Tuesday Nov 25 |
No class |
|
28 |
Thursday Nov 27 |
Holiday |
|
29 |
Tuesday Dec 1 |
Stability, Hurwitz |
|
30 |
Thursday Dec 4 |
More robust stability, q’s and intervals. Start of Lyapunov stability |
|
31 |
Tuesday Dec 9 |
Review of topics for finals, Routh table examples, future courses |
|
32 |
Thursday Dec 11 |
Final exam |
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