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Which of the following functions V(31, 32) is a Lyapunov function for the dynamical system with equilibrium point at (0,0) y₁ = -24₁²(2)² - 6y₁, y2 = -2y²y₂e(³³₂)² — 242 Select one: ○a. V (₁,2)= e(₁½)² + y² −1+3y² O b. V(3₁,32) = e(1₁³₂)² O c. V(y₁, 92) = y₁ + (y₂ − 1)² O d. V(₁,2)= y²e(³³)² + y² − 3y₁

Which of the following functions V(31, 32) is a Lyapunov function for the dynamical system with equilibrium point at (0,0) y₁ = -24₁²(2)² - 6y₁, y2 = -2y²y₂e(³³₂)² — 242 Select one: ○a. V (₁,2)= e(₁½)² + y² −1+3y² O b. V(3₁,32) = e(1₁³₂)² O c. V(y₁, 92) = y₁ + (y₂ − 1)² O d. V(₁,2)= y²e(³³)² + y² − 3y₁

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 with equilibrium point at (0,0) y₁ = −2y₁y²e(¹₁³₂)² – 6y₁, y2 = -2y²y₂e³1³2)² – 2y2 Select one: ○a. V(y₁, y₂) = e(4₁3₂)². O b. V(y₁, 2) = e(1₁1₂) ² O c. V(y₁, y2) = y₁ + (y₂ − 1)² O d. V(y₁, y2) = ye(³1½)² + y² − 3y₁ + y −1+3y²
Transcribed Image Text:Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system with equilibrium point at (0,0) y₁ = −2y₁y²e(¹₁³₂)² – 6y₁, y2 = -2y²y₂e³1³2)² – 2y2 Select one: ○a. V(y₁, y₂) = e(4₁3₂)². O b. V(y₁, 2) = e(1₁1₂) ² O c. V(y₁, y2) = y₁ + (y₂ − 1)² O d. V(y₁, y2) = ye(³1½)² + y² − 3y₁ + y −1+3y²
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