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Let   dx/dt =   x2y3           dy/dt  = -x - y - (xy4)/2 be a dynamical system.   Is  L(x,y) = (x2)/2 + (x2y4)/4 a proper Lyapunov function

Let   dx/dt =   x2y3           dy/dt  = -x - y - (xy4)/2 be a dynamical system.   Is  L(x,y) = (x2)/2 + (x2y4)/4 a proper Lyapunov function

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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Let   dx/dt =   x2y3  

        dy/dt  = -x - y - (xy4)/2

be a dynamical system.

 

Is  L(x,y) = (x2)/2 + (x2y4)/4 a proper Lyapunov function?

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