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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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
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