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Signals and Systems by Smarajit Ghosh

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9.2 CONCEPTS OF STATE, STATE VARIABLES AND STATE MODEL
  • 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. A compact and concise representation of the past history of the system can be termed as the state of the system.
  • State Variables: The smallest set of variables that determine the state of the system are known as state variables.

    The knowledge of capacitor voltage at t = 0 i.e., the initial voltage of the capacitor is a history dependent term and it forms a state variable. Similarly, initial current in an inductor is treated as state variable.

  • State Vector: The ‘n’ state variables that ...

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