# series¶

Connects two state-space blocks in series. If these are instances of DLTI state-space systems, they need to have the same type and time-step. If the input systems are sparse, they are converted to dense.

The connection is such that:

$u \rightarrow \mathsf{SS01} \rightarrow \mathsf{SS02} \rightarrow y \Longrightarrow u \rightarrow \mathsf{SStot} \rightarrow y$

where the state vector $$x$$ is $$[x_1, x_2]$$.

param SS01

State Space 1 instance. Can be DLTI/CLTI, dense or sparse.

type SS01

libss.StateSpace

param SS02

State Space 2 instance. Can be DLTI/CLTI, dense or sparse.

type SS02

libss.StateSpace

Returns

libss.StateSpace: Combined state space system in series in dense format.