Koofer - determine the type of equilibria by hand Then...

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ECE-S513: Systems III Spring 2010-2011 5 April 2011 1 Dept. of ECE, Drexel University Homework 2 Reading Assignment: Khalil, Chapter 2: pages 35-60 Written assignment: 1. From Khalil, Exercise 2.1 part (2) on page 76. Solve for equilibria and find the type of equilibria by hand. Then, plot the phase portrait in MATLAB. Verify that your solution matches. 2. From Khalil, Exercise 2.2 on page 77. Solve for equilibria and find the type of equilibria by hand. Then, plot the phase portraits in MATLAB. For the third system, it may be useful to write a function for computing 𝜓 . Also, plot 𝜓 and explain its behavior. 3. From Khalil, Exercise 2.4 on page 78. The phase portraits are given. Solve for the equilibria and determine the type of equilibria by hand.
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Unformatted text preview: determine the type of equilibria by hand. Then, complete the phase portraits by marking the arrows and discussing the behavior of the system. 4. From Khalil, Exercise 2.9 on page 79. For part e, it may be useful to write a function for computing the saturation of ± . 5. Consider again the tunnel diode circuit in example 2.2. Use the values given except ² , taking instead ² = 1 ³Ω , ² = 1.05428 ³Ω , ´µ¶ ² = 1.5 ³Ω . Find the equilibrium points and the types of each equilibrium point for the three cases. Plot ℎ ( · 1 ) and ¸ ¹ − 1 ¹ · 1 for each of the three cases. Explain how the circuit will behave in each case (consult the phase portrait if you are unsure)....
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