Using Jury’s test, determine the stability of a discrete-time system whose characteristic polynomial is given by:

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Using Jury’s test, determine the stability of a discrete-time system whose characteristic polynomial is given by:

Q(z) =  z4+  6z 3+ 4z 2+ 2z + 1=  0 (You may benefit by watching  this video)

Problem 2 

Find all the critical points of the nonlinear system 
ẋ =x- y- x2 +xy

Ẏ = -x2 -   y
Compute the eigenvalues and eigenvectors