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Verify that V = x† + 2x3 + 2x,x2 + xỉ is a Lyapunov function for the system described by the following state equations dx1 = X2 dt dx2 = -X2 - xỉ. dt Then, check the stability of the system.

Verify that V = x† + 2x3 + 2x,x2 + xỉ is a Lyapunov function for the system described by the following state equations dx1 = X2 dt dx2 = -X2 - xỉ. dt Then, check the stability of the system.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 5CC
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Verify that V = xf + 2x3 + 2x, xX, + xỉ is a Lyapunov function for the system described by the following state equations dx1 = X2 dt dx2 -X2 - xỉ. dt Then, check the stability of the system.
Transcribed Image Text:Verify that V = xf + 2x3 + 2x, xX, + xỉ is a Lyapunov function for the system described by the following state equations dx1 = X2 dt dx2 -X2 - xỉ. dt Then, check the stability of the system.
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