3 show that x = x₁₂²₁ -X² is globally 4 2 asymptotically stable by using V(x) = — X ₁² + 1 X Can you show this by using V(x) = = 2 2² + 1 X ²2 ? 4 2 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3 3
2
(2) show that x = x₂ * = -X²³-X² is globally
asymptotically stable by using V(x) = — X ²₁² + 1 X
2
2
4
2
you
show this by using
Can
2
2
V(x) = 1 X ² + 1 X ² ?
Transcribed Image Text:3 3 2 (2) show that x = x₂ * = -X²³-X² is globally asymptotically stable by using V(x) = — X ²₁² + 1 X 2 2 4 2 you show this by using Can 2 2 V(x) = 1 X ² + 1 X ² ?
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