Figure 6.5: Modes for a second-order system with real eigenvalues

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Chapter Linear Systems
Figure number 6.5
Figure title Figure 6.5: The notion of modes for a second-order system with real eigenvalues.
GitHub URL https://github.com/murrayrm/fbs2e-python/blob/main/figure-6.5-springmass modes.py
Requires python-control, springmass.py
Figure-6.5-springmass modes-pp.png Figure-6.5-springmass modes-slow.png
Figure-6.5-springmass modes-fast.png

Figure 5.1: Response of the damped oscillator to the initial condition x0 = (1, 0). The solution is unique for the given initial conditions and consists of an oscillatory solution for each state, with an exponentially decaying magnitude.