Q1. Define the following:
- State variables
- State vector
- State space
- State equation
- State transition matrix
- Controllaibility and
- State: The state of a dynamic system is the smallest set of variables and the knowledge of these variables at t = t0 together with inputs for t ≥ t0 completely determines the behaviour of the system at t ≥ t0.
- State Variables: The smallest set of variables that determine the state of the system are known as state variables.
- State Vector: The ‘n’ state variables that completely describe the behaviour of a given system are said to be ‘n’ components of a vector.
- State Space: The n dimensional space whose co-ordinate axes consist of the x1 axis, x2 axis … xn axis ...