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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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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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