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An open loop control system acts without feedback; it is simple and less expensive. An example is a central heating furnace.

A closed loop control system uses feedback to control states or outputs of a dynamical system. An example is an Air Conditioner equipped with a thermostat.

A linear control system has a principle of superposition holding, and its behavior is described by linear differential equations. Example: Cruise control in vehicles.

Nonlinear control systems do not follow the superposition principle and are described by nonlinear equations. Example: A robotic arm with complex motion patterns.

Time-Invariant systems have system dynamics that do not change over time. Example: Most household appliances like washers or ovens.

In Time-Variant systems, the system's characteristics change over time. Example: Stock market prediction algorithms.

Adaptive control systems adjust their parameters based on the changes in the external environment and the system. An example is a modern autopilot system in aircraft.

Robust control systems maintain performance in the presence of uncertainties within set bounds. Example: Control systems in nuclear reactors.

Digital control systems use digital computers to perform control actions, usually for discretized models. Example: Digital thermostats.