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Which of the following functions (y1, y2) is a Lyapunov function for the dynamical system y₁ = - Y₁ y, y2 = -2y²y2 - 3y2 Select one: O a. V(y₁, y2) = -V1Y2 O b. O c. O d. V(y₁, y2) = y2 V(J1,yz) = sinh(y? + y) V(y₁, y2) = sin(y² + y2)

Which of the following functions (y1, y2) is a Lyapunov function for the dynamical system y₁ = - Y₁ y, y2 = -2y²y2 - 3y2 Select one: O a. V(y₁, y2) = -V1Y2 O b. O c. O d. V(y₁, y2) = y2 V(J1,yz) = sinh(y? + y) V(y₁, y2) = sin(y² + y2)

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 = - y₁y², y2 = -2yy2 - 3y2 Select one: O a. V(y₁, y2) = -Y1Y2 O b. O c. O d. V(y₁, y2) = y² V(y1,32) = sinh(y? + y) V(y₁, y2) = sin(y² + y2)
Transcribed Image Text:Which of the following functions V(y₁, y2) is a Lyapunov function for the dynamical system y₁ = - y₁y², y2 = -2yy2 - 3y2 Select one: O a. V(y₁, y2) = -Y1Y2 O b. O c. O d. V(y₁, y2) = y² V(y1,32) = sinh(y? + y) V(y₁, y2) = sin(y² + y2)
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