Ex.987: For this system get the stability with Lyapunov, invariant set (LaSalle) or Chetaev theorems do the analysis. Is stability asymptotic? Is it global? x₁ = 9x³ - 2x²x₂ + 9x₁x² + 3x₁ + 8x² 2x2 x₂ = -8x² + 20x²x₂ − 23x₁x² + 20x² + 4x₂

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Ex.987: For this system get the stability with Lyapunov, invariant set (LaSalle) or
Chetaev theorems
do the analysis. Is stability asymptotic? Is it global?
9x - 2x{x2 + 9x1x3 + 3x1 + 8x – 2x2
-8x? + 20x?x2 – 23x,x + 20x + 4x2
%3D
*2 =
Transcribed Image Text:Ex.987: For this system get the stability with Lyapunov, invariant set (LaSalle) or Chetaev theorems do the analysis. Is stability asymptotic? Is it global? 9x - 2x{x2 + 9x1x3 + 3x1 + 8x – 2x2 -8x? + 20x?x2 – 23x,x + 20x + 4x2 %3D *2 =
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