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Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system y₁ = (4-₁), y₂ = y² - y²y₂2 y2 Select one: a. V(v₁.32) = -4+(2-1)³ b. V(y₁.92) = −³+e³¹2 Oc. V(v₁.3₂) = ₁ + y² C. d. V(y₁, y2) = (y₁ - 4)4+ (y2 - 1)²

Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system y₁ = (4-₁), y₂ = y² - y²y₂2 y2 Select one: a. V(v₁.32) = -4+(2-1)³ b. V(y₁.92) = −³+e³¹2 Oc. V(v₁.3₂) = ₁ + y² C. d. V(y₁, y2) = (y₁ - 4)4+ (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 y₁ = (4-₁)ex, y2 = y²-y²y₂ Select one: a. V(v₁.32) = -4+(2-1)³ b. V(v₁.y2) = -²³ +²² c. V(v₁.92) = ₁ + y/² C. Od. V(y₁, y2) = (y₁ - 4)4+ (y2 - 1)²
Transcribed Image Text:Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system y₁ = (4-₁)ex, y2 = y²-y²y₂ Select one: a. V(v₁.32) = -4+(2-1)³ b. V(v₁.y2) = -²³ +²² c. V(v₁.92) = ₁ + y/² C. Od. V(y₁, y2) = (y₁ - 4)4+ (y2 - 1)²
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