Linear V/s Nonlinear Control Systems:

Linear Control Systems are systems which follow the principle of superposition i.e they are homogeneous and additive. Whereas Non-Linear Control Systems do not follow the superposition principle. In practical, systems are non-linear control systems.

Continuous Time and Discrete-Time Control Systems:

Control Systems can be continuous time control systems or discrete time control systems based on the nature of the input signal applied.
In continuous time control systems, the signal is continuous in time. But, in discrete time control systems, the signals are in discrete time.

Time−invariant Versus Time−varying Control Systems:

A time invariant control system is one whose parameters do not vary with time. A time−varying control system is a system in which the system parameters vary with time.

Siso and Mimo Control Systems:

Single Input and Single Output(SISO) control systems have one input to which it gives one output. Whereas, Multiple Inputs and Multiple Outputs(MIMO) control systems have more than one input and more than one output.

Deterministic Versus Stochastic Control Systems:

Deterministic control systems have a response to input that is predictable and repeatable. If the response is unpredictable or does not follow any pattern the control system is a stochastic control system.

Open Loop and Closed Loop Control Systems:

Any system that does not have the ability to self correct its output with accordance to the variation in output is known as Open Loop Control System.
In Closed Loop Control System the output is corrected continuously with respect to the changes to the input usually by using a feedback controller