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Reference.org
State-transition matrix
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<p>In <a href="/facts/Control_theory/aIuERpn6">control theory</a>, the state-transition matrix is a matrix whose product with the <a href="/facts/State_space_representation/Jf4EanCP">state vector</a> x {\displaystyle x} at an initial time t 0 {\displaystyle t_{0}} gives x {\displaystyle x} at a later time t {\displaystyle t} . The state-transition matrix can be used to obtain the general solution of linear dynamical systems. </p>