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august 28

\(\def\Real{\mathbb{R}}\def\Comp{\mathbb{C}}\def\Rat{\mathbb{Q}}
\def\Field{\mathbb{F}}
\)

What this course deals with?

Linear control systems. A continuous-time state-space linear system is defined by the following equations:
The signals
\[
x'(t) = A(t)x(t) + B(t)u(t), y(t) = C(t)x(t) + D(t)u(t),
\]
where
\[
x\in \Real^n, …

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ece 515, the week of August 25

No class August 26!

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math 285, the week of August 25

Brash up your calculus. Review Chapter 1.1. Listen to the first lecture.

Homework (due by Monday, 9.1):

  1. For which \(x\) there exists a real solution to
    \[
    y^2-4xy+4=0?
    \]
  2. Simplify
    \[
    \frac{\sin(x+y)-\sin(x-y)}{\sin(y)}.
    \]
  3. Solve differential equations
    \[
    y’=\sin(2x+3)
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