The Structure of Attractors in Dynamical Systems by N.G. Markley, J.C. Martin, W. Perrizo

By N.G. Markley, J.C. Martin, W. Perrizo

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Marginally stable. 3593 Two poles in RHP. Unstable.  Stable. s = −13387 . , 16634 . 164, 16634 . 164 Two poles in RHP. Unstable. 6376, 213487 Two poles in RHP. Unstable. 2-34) Find the Characteristic equations and then use the roots command.  Two roots in RHP.  No roots in RHP.  No roots in RHP. 10 4 3 2 .  Two roots in RHP. 0447 ± j1153 . 27 −5411 . 27 = −116 .  Four roots in RHP. 29, − 1788 . 039 + j 3105 . 039 − j 3105 .  Two roots in RHP. 4142i Alternatively use the approach in this Chapter’s Section 2‐14: 1.

16634 . 164, 16634 . 164 Two poles in RHP. Unstable. 6376, 213487 Two poles in RHP. Unstable. 2-34) Find the Characteristic equations and then use the roots command.  Two roots in RHP.  No roots in RHP.  No roots in RHP. 10 4 3 2 .  Two roots in RHP. 0447 ± j1153 . 27 −5411 . 27 = −116 .  Four roots in RHP. 29, − 1788 . 039 + j 3105 . 039 − j 3105 .  Two roots in RHP. 4142i Alternatively use the approach in this Chapter’s Section 2‐14: 1. Activate MATLAB 2. Go to the directory containing the ACSYS software.

29, − 1788 . 039 + j 3105 . 039 − j 3105 .  Two roots in RHP. 4142i Alternatively use the approach in this Chapter’s Section 2‐14: 1. Activate MATLAB 2. Go to the directory containing the ACSYS software. 3. Type in Acsys 4. Then press the “transfer function Symbolic button 2‐61 Golnaraghi, Kuo Automatic Control Systems, 9th Edition Chapter 2 Solutions Golnaraghi, Kuo 5. Enter the characteristic equation in the denominator and press the “Routh‐Hurwitz” push‐ button. RH = [ 1, 10] [ 25, 450] [ -8, 0] [ 450, 0] Two sign changes in the first column.

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