Murray: Created page with "{{CDS homework | instructor = R. Murray, J. Doyle | course = CDS 240 | semester = Spring 2016 | title = Problem Set #2 | issued = 17 Apr 2016 (Sun) | due = 25 Apr 2016 (..."

2016-04-18T00:43:49Z

Created page with "{{CDS homework | instructor = R. Murray, J. Doyle | course = CDS 240 | semester = Spring 2016 | title = Problem Set #2 | issued = 17 Apr 2016 (Sun) | due = 25 Apr 2016 (..."

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{{CDS homework
| instructor = R. Murray, J. Doyle
| course = CDS 240
| semester = Spring 2016
| title = Problem Set #2
| issued = 17 Apr 2016 (Sun)
| due = 25 Apr 2016 (Mon)
}}

<ol>
<li> Khalil, Problem 5.1 </li>
<li> Khalil, Problem 5.16
* Hint: Try using the Lyapunov function $$V(x) = \int_0^{x_1} \sigma(y) dy + \frac{1}{2} (x_1^2 + x_2^2)$$.
</li>
<li>Khalil, Problem 5.23 </li>
<li> Khalil, Problem 6.2 </li>
<li> Khalil, Problem 6.6 </li>
<li> Khalil, Problem 6.7 </li>
<li> Khalil, Problem 7.3 </li>
<li> Khalil, Problem 7.6
* Hint: See Example 7.4 to see how to estimate the region of attraction in part (c)
</li>
<li> Khalil, Problem 7.10, nonlinearities (3) and (4) </li>
<li> Khalil, Problem 7.14, parts (a) and (c) </li>
</ol>

CDS 240, Spring 2016: HW 2 - Revision history

Murray: Created page with "{{CDS homework | instructor = R. Murray, J. Doyle | course = CDS 240 | semester = Spring 2016 | title = Problem Set #2 | issued = 17 Apr 2016 (Sun) | due = 25 Apr 2016 (..."