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Signals and Systems by Smarajit Ghosh

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SHORT QUESTIONS AND ANSWERS

 

Q1. Define the following:

  1. State
  2. State variables
  3. State vector
  4. State space
  5. State equation
  6. State transition matrix
  7. Controllaibility and
  8. Observability

Ans.

  1. 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 tt0 completely determines the behaviour of the system at tt0.
  2. State Variables: The smallest set of variables that determine the state of the system are known as state variables.
  3. State Vector: The ‘n’ state variables that completely describe the behaviour of a given system are said to be ‘n’ components of a vector.
  4. State Space: The n dimensional space whose co-ordinate axes consist of the x1 axis, x2 axis … xn axis ...

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