$\delta$

$\rho$

${\lambda }_1$

${\lambda }_2$

${\lambda }_3$

${\lambda }_4$

$arg{\lambda }_1$

$arg{\lambda }_2$

$arg{\lambda }_3$

$arg{\lambda }_4$

$\left|arg{\lambda }_i\right|$

Stability Result

0.5

0.3

$0.5449+0.7255i$

$0.5449-0.7255i$

$-0.5449-0.7255i$

$0.5449-0.7255i$

0.9266

−0.9266

0.4449

−0.4449

$\cancel{>}\frac{\pi }{6}$

Unstable

2

1

−1.0000

−0.5437

$0.7718+1.1151i$

$0.7718-1.1151i$

$\pi$

$\pi$

0.9654

−0.9654

$>\frac{\pi }{6}$

Asym. stable

10

20

$1.5422-1.9999i$

$1.5422+1.9999i$

$-1.5422-0.8703i$

$-1.5422+0.8703i$

−0.9139

0.9139

0.5138

−0.5138

$\cancel{>}\frac{\pi }{6}$

Unstable

50

45

$2.1144+3.2222i$

$2.1144-3.2222i$

−0.9140

−3.3149

0.9901

−0.9901

$\pi$

$\pi$

$>\frac{\pi }{6}$

Asym. stable

5

90

$2.1799+2.3077i$

$-2.1799+2.0442i$

$-2.1799-2.0442i$

$2.1799-2.3077i$

0.8139

−0.7533

0.7533

−0.8139

$>\frac{\pi }{6}$

Asym. stable