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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 = -2y₁yze(₁2) -6y₁, y2 = -2y/y2e(1₂)² - 2y2 Select one: a. V(y₁, y2) = y₁ + (y2 − 1)² - O b. - V(y₁, y2) = y²e(₁92)² + y²/2 − 3y₁ O c. V(y₁, y2) = e(13₂) ² O d. V(y₁, y2) = e(19₂)² + y² −1+3y²

Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system with equilibrium point at (0, 0) y₁ = -2y₁yze(₁2) -6y₁, y2 = -2y/y2e(1₂)² - 2y2 Select one: a. V(y₁, y2) = y₁ + (y2 − 1)² - O b. - V(y₁, y2) = y²e(₁92)² + y²/2 − 3y₁ O c. V(y₁, y2) = e(13₂) ² O d. V(y₁, y2) = e(19₂)² + y² −1+3y²

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 (12)² – 6y1, y2 = -2y/y₂e (19₂2) — 2y2 Select one: O a. V(y₁, y2) = y₁ + (y2 − 1)² O b. O c. O d. V(y₁, y₂) = y²e(9192)² + y² − 3y₁ - V(y₁, y2) = e(3132)² V(y₁, y2) = e(1¹³₂)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 (12)² – 6y1, y2 = -2y/y₂e (19₂2) — 2y2 Select one: O a. V(y₁, y2) = y₁ + (y2 − 1)² O b. O c. O d. V(y₁, y₂) = y²e(9192)² + y² − 3y₁ - V(y₁, y2) = e(3132)² V(y₁, y2) = e(1¹³₂)² + y² − 1 + 3y²
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