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Which of the following functions V(₁, ₂) is a Lyapunov function for the dynamical system with equilibrium point at (0, 0) V₁ = −2y₁³e(K)² – Øy₁₁₁=2²₂)² – 2y₁ Select one: O a. V(V₁, V₂) = e(3₂)² Ob. V(₁/₂) = ³₂)² + y² −1+3y² ○c. V(₁,₂)= ₁ + (Y₂ − 1)² O d. V(₁₁/₂) = e()² + y − 3y₁

Which of the following functions V(₁, ₂) is a Lyapunov function for the dynamical system with equilibrium point at (0, 0) V₁ = −2y₁³e(K)² – Øy₁₁₁=2²₂)² – 2y₁ Select one: O a. V(V₁, V₂) = e(3₂)² Ob. V(₁/₂) = ³₂)² + y² −1+3y² ○c. V(₁,₂)= ₁ + (Y₂ − 1)² O d. V(₁₁/₂) = e()² + y − 3y₁

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(₁, ₂) is a Lyapunov function for the dynamical system with equilibrium point at (0, 0) V₁ = −2y₁³e(K)² – 6₁₁₁=²²₂)² – 2y₁ Select one: O a. V(V₁, V₂) = e(₂)² V(₁/₂) = ³₂)² + y² −1+3y² Ob. Oc. V(₁/₂) = ₁ + (Y₂ − 1)² O d. V(₁₁/2) = ye()² + y² - 3₁
Transcribed Image Text:Which of the following functions V(₁, ₂) is a Lyapunov function for the dynamical system with equilibrium point at (0, 0) V₁ = −2y₁³e(K)² – 6₁₁₁=²²₂)² – 2y₁ Select one: O a. V(V₁, V₂) = e(₂)² V(₁/₂) = ³₂)² + y² −1+3y² Ob. Oc. V(₁/₂) = ₁ + (Y₂ − 1)² O d. V(₁₁/2) = ye()² + y² - 3₁
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