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Which of the following functions V(y1; Y2) is a Lyapunov function for the dynamical system y1 = -2y1yzeVi v½ – Y1, j2 = -2yiyzevi vi Select one: O a. V(y1, Y2) = evi s +y? – 1 O b. V(y1, Y2) = -eviv? +yỉ O c. V(y1, y2) = -yıy2ei % – yỉ O d. V(y1, Y2) = e%½ + yỉ

Which of the following functions V(y1; Y2) is a Lyapunov function for the dynamical system y1 = -2y1yzeVi v½ – Y1, j2 = -2yiyzevi vi Select one: O a. V(y1, Y2) = evi s +y? – 1 O b. V(y1, Y2) = -eviv? +yỉ O c. V(y1, y2) = -yıy2ei % – yỉ O d. V(y1, Y2) = e%½ + yỉ

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following functions V(y1; Y2) is a Lyapunov function for the dynamical system y1 = -2y1yzeVi v½ – Y1, j2 = -2yiyzevi vi Select one: O a. V(y1, Y2) = evi s +y? – 1 O b. V(y1, Y2) = -eviv? +yỉ O c. V(y1, y2) = -yıy2ei % – yỉ O d. V(y1, Y2) = e%½ + yỉ
Transcribed Image Text:Which of the following functions V(y1; Y2) is a Lyapunov function for the dynamical system y1 = -2y1yzeVi v½ – Y1, j2 = -2yiyzevi vi Select one: O a. V(y1, Y2) = evi s +y? – 1 O b. V(y1, Y2) = -eviv? +yỉ O c. V(y1, y2) = -yıy2ei % – yỉ O d. V(y1, Y2) = e%½ + yỉ
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