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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 = −2y₁y²e₁9₂)² – 6y₁, №₂ = −2y²y₂e0³₁³₂²)² – 2Y2 - Select one: O a. V(₁,₂)= y²e0₁₂)² + y² - 3₁ O b. V(y₁,Y2) = e(₁3₂)² c. V (₁,₂)= y₁ + (y₂ − 1)² - Od. V(₁,₂)= ₂² +² -1 +3²

Which of the following functions V(y₁, y₂) is a Lyapunov function for the dynamical system with equilibrium point at (0,0) y₁ = −2y₁y²e₁9₂)² – 6y₁, №₂ = −2y²y₂e0³₁³₂²)² – 2Y2 - Select one: O a. V(₁,₂)= y²e0₁₂)² + y² - 3₁ O b. V(y₁,Y2) = e(₁3₂)² c. V (₁,₂)= y₁ + (y₂ − 1)² - Od. V(₁,₂)= ₂² +² -1 +3²

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(¹92)² – 6y₁, №₂ = −2y²y₂e₁³₂)³² – 2y2 Select one: ○a. V(Y₁,Y₂) = y²e@₁9₂)² + y² − 3y₁ ○ b. V(y₁,Y₂) = e(₁3₂)² c. V(y₁,₂)= y₁ + (y₂ − 1)² - ○ d. V(Y₁,Y₂) = e(V1Y₂)² + y² − 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(¹92)² – 6y₁, №₂ = −2y²y₂e₁³₂)³² – 2y2 Select one: ○a. V(Y₁,Y₂) = y²e@₁9₂)² + y² − 3y₁ ○ b. V(y₁,Y₂) = e(₁3₂)² c. V(y₁,₂)= y₁ + (y₂ − 1)² - ○ d. V(Y₁,Y₂) = e(V1Y₂)² + y² − 1 + 3y² -
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