State Vector 2 Real Poles Product, Step response and Bode Plot

Cuthbert Nyack
This applet shows the transient behaviour of the state vector components x1 and x2 for a second order system when A is a companion matrix. The Bode plot for the output x1 is also shown.
In this case, the x1 response is the standard response for a second order system while the x2 response is similar to a differentiated version of the x1 response with an advance in phase but is also affected by the location of the pole at b.

Gif image below shows how applet should appear.

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COPYRIGHT 2006 Cuthbert Nyack.