Unsteady linear systems
Dynamic systems and control
Article REF: S7430 V1
Unsteady linear systems
Dynamic systems and control

Authors : Jean LÉVINE, Pierre ROUCHON

Publication date: September 10, 2008 | Lire en français

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5. Unsteady linear systems

The general solution of the stationary linear system forced by the source term b (t ) :

ddtx=Ax+b(t),    xn,    b(t)n

is given by the constant variation formula :

x(t)=exp(tA)x(0)+
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