The suitable Liapunov function for the systema) V(x, y) = x² + y²b) V(x, y) = x² + 2y²c) V(x, y) = 2x² + y²d) V (x,y) = 1⁄2 x² + y²dxdt=−x³ + xy²,dt= -2x²y - y³ is

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Answered: The suitable Liapunov function for the…

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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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 dt +xy², dt = -2x²y-y³ is