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HW8 - A nonlinear dynamic model of a system is 2 dx x 16...

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ECE 430 homework assignment #8 (In class quiz –Friday, Apr 16) Text problem 4.14 (partial answer: i=5, x=0 (or +1, -1)) Text problem 4.18 Text problem 4.27 Text problem 5.1 Text problem 5.4 Text problem 5.5 Special problem #1 (see solution Spring 2004 final) A dynamic system is modeled as: 1 1 2 2 2 1 2 3 2 2 2 x x x x x x = - + = - + & & a) Find all equilibrium points. b) Linearize the system at each equilibrium point. c) Determine the eigenvalues at each equilibrium point. Determine which points are stable and which are unstable. Special problem #2 (see solution for Spring 2003 final)
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Unformatted text preview: A nonlinear dynamic model of a system is: 2 dx x 16 dt +-= a) The two equilibrium points for this system are: 1 e x = _______________________________ 2 e x = _______________________________ b) The linearized model valid for either e x is d x dt ∆ = _______________________________ c) Is 1 e x a stable or unstable (circle one) equilibrium point? d) Is 2 e x a stable or unstable (circle one) equilibrium point?...
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