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Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system y₁ = (4-₁) e¹2, y2 = y₁ - y₁Y2 Select one: O a. O b. O c. O d. V(y₁, 92) = y₁ + y² V(y1, y2) = −₁+ (y2 - 1)³ V(y₁, y2) = (y1 − 4)¹ + (y2 − 1)² - V(y1, y2) = −y³ + e

Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system y₁ = (4-₁) e¹2, y2 = y₁ - y₁Y2 Select one: O a. O b. O c. O d. V(y₁, 92) = y₁ + y² V(y1, y2) = −₁+ (y2 - 1)³ V(y₁, y2) = (y1 − 4)¹ + (y2 − 1)² - V(y1, y2) = −y³ + e

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 = (4₁) ³/13/2, y2 = y² - y²y2 Select one: O a. V(y₁, y2) = y₁ + y²/ O b. V(y1, 92) = −₁+ (y2 - 1)³ O c. O d. V(y1, 32) = −₁+e³₂ V(y₁, y2) = (y₁ − 4)² + (y2 − 1)²
Transcribed Image Text:Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system y₁ = (4₁) ³/13/2, y2 = y² - y²y2 Select one: O a. V(y₁, y2) = y₁ + y²/ O b. V(y1, 92) = −₁+ (y2 - 1)³ O c. O d. V(y1, 32) = −₁+e³₂ V(y₁, y2) = (y₁ − 4)² + (y2 − 1)²
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