Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Which of the following functions V(31, 32) is a Lyapunov function for the dynamical system with equilibrium point at (0,0) y₁ = -24₁²(2)² - 6y₁, y2 = -2y²y₂e(³³₂)² — 242 Select one: ○a. V (₁,2)= e(₁½)² + y² −1+3y² O b. V(3₁,32) = e(1₁³₂)² O c. V(y₁, 92) = y₁ + (y₂ − 1)² O d. V(₁,2)= y²e(³³)² + y² − 3y₁

Which of the following functions V(31, 32) is a Lyapunov function for the dynamical system with equilibrium point at (0,0) y₁ = -24₁²(2)² - 6y₁, y2 = -2y²y₂e(³³₂)² — 242 Select one: ○a. V (₁,2)= e(₁½)² + y² −1+3y² O b. V(3₁,32) = e(1₁³₂)² O c. V(y₁, 92) = y₁ + (y₂ − 1)² O d. V(₁,2)= y²e(³³)² + y² − 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
See similar textbooks
icon
Related questions
Question
Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system with equilibrium point at (0,0) y₁ = −2y₁y²e(¹₁³₂)² – 6y₁, y2 = -2y²y₂e³1³2)² – 2y2 Select one: ○a. V(y₁, y₂) = e(4₁3₂)². O b. V(y₁, 2) = e(1₁1₂) ² O c. V(y₁, y2) = y₁ + (y₂ − 1)² O d. V(y₁, y2) = ye(³1½)² + y² − 3y₁ + y −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(¹₁³₂)² – 6y₁, y2 = -2y²y₂e³1³2)² – 2y2 Select one: ○a. V(y₁, y₂) = e(4₁3₂)². O b. V(y₁, 2) = e(1₁1₂) ² O c. V(y₁, y2) = y₁ + (y₂ − 1)² O d. V(y₁, y2) = ye(³1½)² + y² − 3y₁ + y −1+3y²
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS