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Determine the asymptotic stability of the system x'' = ax

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Reference no: EM131026552

Determine the asymptotic stability of the system x' = Ax, where

A is 2x2 matrix, A = alpha beta

gamma delta

( that is. first row is alpha beta, second row is gamma delta)

if it is known that determinant of A, det(A) = alpha*delta - beta*gamma > 0, and that the trace of A, Tr(A) = alpha + delta <0. Here alpha, beta, gamma, and delta are real constants.

Reference no: EM131026552

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