The suitable Liapunov function for the system a) V (x, y) = x² + y² b) V(x,y) = x² + 2y² c) V(x, y) = 2x² + y² 1 d) V (x, y) = x² + y² dt -x² + xy² 2 dy=-2x²y-y³ is dt
The suitable Liapunov function for the system a) V (x, y) = x² + y² b) V(x,y) = x² + 2y² c) V(x, y) = 2x² + y² 1 d) V (x, y) = x² + y² dt -x² + xy² 2 dy=-2x²y-y³ is dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:The suitable Liapunov function for the system
a) V(x, y) = x² + y²
b) V(x, y) = x² + 2y²
c) V(x, y) = 2x² + y²
d) V (x,y) = 1⁄2 x² + y²
dx
dt
=−x³ + xy²,
dt
= -2x²y - y³ is
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 12 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

