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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 = −2₁²¹₁¹²2²³ - 6₁₁ y₂ = -2²₁₂₁₁₂2)² – 2y2 Select one: a. ○ b. O c. V(y₁, y₂) = e(1132)² V(y₁, y2) = e(¹1³2)² + y² − 1 +3y² V(y₁, Y2) = y²e(₁92)² + y²/2 − 3y₁ ○ d. _V(y₁, Y2) = y† + (y₂ − 1)²

Which of the following functions V(y₁, y2) is a Lyapunov function for the dynamical system with equilibrium point at (0, 0) y₁ = −2₁²¹₁¹²2²³ - 6₁₁ y₂ = -2²₁₂₁₁₂2)² – 2y2 Select one: a. ○ b. O c. V(y₁, y₂) = e(1132)² V(y₁, y2) = e(¹1³2)² + y² − 1 +3y² V(y₁, Y2) = y²e(₁92)² + y²/2 − 3y₁ ○ d. _V(y₁, Y2) = y† + (y₂ − 1)²

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 = −2y₁y¾e(Y192)² – 6y₁, y₂ = -2y²y₂e(³₁V2)² – 2y₂ Select one: a. ○ b. V(y₁, y2) = e(Y1Y2)² V(y₁, y2) = e(¹¹³₂)² + y² −1+3y² ○ c. V(y₁, ₂) = y²e(₁8₂)² + y² − 3y₁ O ○ d. V(y₁, y₂) = y† + (y₂ − 1)²
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 = −2y₁y¾e(Y192)² – 6y₁, y₂ = -2y²y₂e(³₁V2)² – 2y₂ Select one: a. ○ b. V(y₁, y2) = e(Y1Y2)² V(y₁, y2) = e(¹¹³₂)² + y² −1+3y² ○ c. V(y₁, ₂) = y²e(₁8₂)² + y² − 3y₁ O ○ d. V(y₁, y₂) = y† + (y₂ − 1)²
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