State-transition matrix: Difference between revisions

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Estimation of the state-transition matrix: Adding a reference for the invariant case
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: <math>\mathbf{x}(t)= \mathbf{\Phi} (t, t_0)\mathbf{x}(t_0)+\int_{t_0}^t \mathbf{\Phi}(t, \tau)\mathbf{B}(\tau)\mathbf{u}(\tau)d\tau</math>
 
The first term is known as the '''zero-input response''' and represents how the system's state would evolve in the absence of any input. The the second term is known as the '''zero-state response''' and defines how the inputs impact the system.
 
==Peano–Baker series==