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I came across a problem in some literature and was curious about how to solve it,

Given a system described by,

[tex]\ddot{y} + 2\dot{y} - 3y = \dot{u} - u [/tex]

Convert the above into state-space form with input [tex]\dot{u}[/tex] and output y.

Define the state vector and determine the matrices A(t),B(t),C(t),D(t) such that,

[tex]\dot{x} = A(t)x + B(t)\dot{u} [/tex]

[tex]y = C(t)x + D(t)\dot{u} [/tex]

Any ideas?

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# Generating State Variable Description

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