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characteristic equation
The characteristic equation (C.E.) corresponding to the linear state space equations comprising the state equation?
x = Ax + Bu
and output equation
y = Cx + Du
is given by the determinant equation
|sI - A| = 0
This works out as a polynomial equation in s of order n when A is an n×n2 Accordingly it has n roots.Since A has real elements then the characteristic polynomial has real coeficients and so the roots occuras a set comprising real roots or complex conjugate pairs. For stability all roots must be in left half plane(ie all have negative real parts).
my assingment is in petroleum engineering. Its production class.Can you help me?
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