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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(v₁92)² – 6y₁, y₂ = −2y²y₂e(₁₂)² – 2y2 Select one: a. ● b. ○ c. ○ d. V(y1, y2) = e(1182)² V(y₁, Y2) = e(³1¹ ³2)² + y² − 1 + 3y² V(y₁, y₂) = y²₁e(₁9₂)² + y² − 3y₁ V(y₁, y₂) = y² + (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 = −2y₁y¾e(v₁92)² – 6y₁, y₂ = −2y²y₂e(₁₂)² – 2y2 Select one: a. ● b. ○ c. ○ d. V(y1, y2) = e(1182)² V(y₁, Y2) = e(³1¹ ³2)² + y² − 1 + 3y² V(y₁, y₂) = y²₁e(₁9₂)² + y² − 3y₁ V(y₁, y₂) = y² + (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 = −2y₁y/²e(1₁³2)² — 6₁, y2 = −2y²y₂e(11³₂)² – 2y₂ Select one: ○ a. ● b. ○c. ○ d. V(y₁, y₂) = e(1132)² V(y₁, Y2) = e(11³2)² + y² − 1 + 3y² V(y₁, y₂) = y²e(₁92)² + y² − 3y₁ 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 = −2y₁y/²e(1₁³2)² — 6₁, y2 = −2y²y₂e(11³₂)² – 2y₂ Select one: ○ a. ● b. ○c. ○ d. V(y₁, y₂) = e(1132)² V(y₁, Y2) = e(11³2)² + y² − 1 + 3y² V(y₁, y₂) = y²e(₁92)² + y² − 3y₁ V(y₁, y2) = y + (y2 − 1)²
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