5. Given the system X₁ X₂ = = X₂ X₂ - X²³. Show that a positive definite function of the form V (X₁, X₂) = ax + bx² + CX

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5. Given the system X₁ X₂ = = X₂ X₂ - X²³. Show that a positive definite function of the form V (X₁, X₂) = ax + bx² + CX

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5 Given The System X X X X X Show That A Positive Definite Function Of The Form V X X Ax Bx Cx 1
5 Given The System X X X X X Show That A Positive Definite Function Of The Form V X X Ax Bx Cx 1 (26.62 KiB) Viewed 20 times
5. Given the system X₁ X₂ = = X₂ X₂ - X²³. Show that a positive definite function of the form V (X₁, X₂) = ax + bx² + CX₁ X₂ + dx²2 can be chosen such that V (X₁, X2) is also positive definite. Hence deduce that the origin is unstable.
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