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Which of the following functions V(y₁, y2) is a Lyapunov function for the dynamical system y₁ = −2y₁y²e¹²³² - y₁, y₂ = -2y²y₂e¹²² Select one: a. O b. ○ c. ○ d. V(y₁, Y2) 1 y² = −₁₂е³³²_ ³³² + 1/{y} − 1 V(y₁, y2) = eviv = e³1³2 + 1/{y} −e¹²³ + ¼ y² V(y₁, y₂) = V(y₁, y2) = -

Which of the following functions V(y₁, y2) is a Lyapunov function for the dynamical system y₁ = −2y₁y²e¹²³² - y₁, y₂ = -2y²y₂e¹²² Select one: a. O b. ○ c. ○ d. V(y₁, Y2) 1 y² = −₁₂е³³²_ ³³² + 1/{y} − 1 V(y₁, y2) = eviv = e³1³2 + 1/{y} −e¹²³ + ¼ y² V(y₁, y₂) = V(y₁, y2) = -

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 = −2y₁y²e¹²³² — y₁, y₂ = -2y²y₂e¹²³² - Select one: a. ○ b. ○ c. ○ d. V(y₁, Y2) = −Y₁Y20³³² – 1 y² - V(y₁, y₂) = Y2): V(y₁, y₂) = V(y₁, y2) = eviv ³³² + y² − 1 - e³1³2 + 1/{y} −e³³ + ¼ y²
Transcribed Image Text:Which of the following functions V(y₁, y2) is a Lyapunov function for the dynamical system y₁ = −2y₁y²e¹²³² — y₁, y₂ = -2y²y₂e¹²³² - Select one: a. ○ b. ○ c. ○ d. V(y₁, Y2) = −Y₁Y20³³² – 1 y² - V(y₁, y₂) = Y2): V(y₁, y₂) = V(y₁, y2) = eviv ³³² + y² − 1 - e³1³2 + 1/{y} −e³³ + ¼ y²
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