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System Equations in Matrix Form

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A system is defined by the equations:
x1 = -3x1 + 2x2 + x3 + 2u1 + u2
x2 = 3x1 - 2x2 + x3 + u1
x3 = -4x2 - x3 + u1
y1 = 5x1 - 3x2 + x3 + u1
y2 = x1 + x2 + u1 + u2

Write the equations in standard matrix form and identify the A, B, C, and D matrices
Draw a simulation (block) diagram.

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Solution Summary

This solution provides a block diagram, writes the equations in standard matrix form and identifies the A,B,C and D matrices.

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System of Equations: Matrix Form and Eigenvalues

Consider the attached system of equations.

(a) Write the system in the given matrix form {see attachment}
(b) Determine the eigenvalues of A in terms of the parameter {see attachment}
(c) The qualitative nature of solutions depends on ....
(d) Sketch a typical phase portrait...

Please see attachment for complete set of questions. Also, please note: no computer, no calculator. Show how you would have done things by hand. Thanks!

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