Connect two continuous-time systems in series:

Connect two discrete-time systems in series:

Connect state-space systems:

Connect the second output from the first system to the first input of the second system:

A function that connects any number of matching systems in series:

Connect a family of first-order systems in series:

Connect several multiple-input, multiple-output systems:

The cascade of four abstract systems:

The tree structure of the cascade:

Create a positioning system with a power amplifier, motor, and angular rate sensor in series:

Visualize the open-loop step response:

Integrate the last output of a three-output system:

Use SystemsModelSeriesConnect in multi-loop reduction:

The resulting system has the inputs of the first system and the outputs of the second system:

SystemsModelSeriesConnect is a special case of SystemsConnectionsModel:

SystemsModelSeriesConnect does not cancel poles and zeros:

A system made from series and parallel connections has the same poles as the subsystems:

Assemble the system:

It's poles:

They're the same as the poles of its individual components:

The order of the reduced system is the sum of the orders of the subsystems:

The connected system has an order of 4:

It is the sum of the individual model orders:

SystemsModelSeriesConnect is essentially a flat function:

Series connections are equivalent to multiplication without any pole-zero cancellation:

The series connection of two models is the convolution of their impulse responses:

Their Laplace transforms:

A series connection gives the same result:

Multiple outputs of sys₁ cannot be connected to a single input of sys₂: