Share
Explore BrainMass

Asymptotic stability of a system, Continuous Time ( CT ), Time Linear-Invariant ( TLI ), CTLTI, Lyapunov Stability

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.
Please justify your answer, I want a detailed solution. Thanks.

Solution Summary

Asymptotic stability of a system, Continuous Time ( CT ), Time Linear-Invariant ( TLI ), CTLTI, Lyapunov Stability are investigated. The solution is detailed and well presented.

$2.19