Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system yi = -2yı vže'ii – yı, ý½ = -2y¡y½eisi ý2 = -2y¡yzeli? Select one: · a. V(y1, y2) = -yı 9ze*i»½ – }v? O b. V(y1,y2) = elii + - 1 c. V(y1,y2) = -evi + O d. V(y1, y2) = evi }2 + y? Ос.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following functions
V(y1, y2) is a Lyapunov function for the
dynamical system
yi = -2yı vže'ii – yı, ý½ = -2y¡y½eisi
Select one:
· a. V(y1, y2) = –yı ¥2ei»% – }y?
O b. V(y1,y2) = erisi + – 1
O c. = -ei +
= e%i¥2 + y?
Ос.
V(y1, y2)
O d. V(y1, y2)
Transcribed Image Text:Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system yi = -2yı vže'ii – yı, ý½ = -2y¡y½eisi Select one: · a. V(y1, y2) = –yı ¥2ei»% – }y? O b. V(y1,y2) = erisi + – 1 O c. = -ei + = e%i¥2 + y? Ос. V(y1, y2) O d. V(y1, y2)
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