Controllability refers to the ability of an external input to move a system from any initial state to any desired final state within a finite time period. It is a fundamental concept in control theory, crucial for designing systems that can achieve desired behaviors through appropriate inputs.

Controllability

external input

The 'initial state' refers to the starting condition of a system or process before any changes or developments occur. Understanding the initial state is crucial for predicting outcomes, modeling systems, and setting the stage for dynamic analysis across various fields such as physics, computer science, and economics.

initial state

desired final state

finite time period

Control theory is a field of study that focuses on the behavior of dynamical systems and the use of feedback to modify the behavior of these systems to achieve desired outcomes. It is widely applied in engineering and science to design systems that maintain stability and performance despite external disturbances and uncertainties.

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