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Problem 2. i = -x +y – x² – y² + xy² (1) ÿ = -y + xy – y² – x²y (2) | Determine the values of a for which V (x, y) = x²+ay² is a Lyapunov function for the system.

Problem 2. i = -x +y – x² – y² + xy² (1) ÿ = -y + xy – y² – x²y (2) | Determine the values of a for which V (x, y) = x²+ay² is a Lyapunov function for the system.

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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Problem 2. i = -x + y – x²? – y² + xy? ý = -y + xy – y² – x²y (1) (2) Determine the values of a for which V (x, y) = x² +ay? is a Lyapunov function for the system.
Transcribed Image Text:Problem 2. i = -x + y – x²? – y² + xy? ý = -y + xy – y² – x²y (1) (2) Determine the values of a for which V (x, y) = x² +ay? is a Lyapunov function for the system.
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