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observability

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Observability is a measure of how well internal states of a system can be inferred from knowledge of its external outputs. In control theory, the observability and controllability of a linear system are mathematical duals.

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16 sections
Contents
  • Definition
  • Linear time-invariant systems
  • Observability matrix
  • Related concepts
  • Observability index
  • Unobservable subspace
  • Detectability
  • Functional observability
  • Linear time-varying systems
  • Observability matrix generalization
  • Example
  • Nonlinear systems
  • Static systems and general topological spaces
  • See also
  • References
  • External links

Observability is a measure of how well internal states of a system can be inferred from knowledge of its external outputs. In control theory, the observability and controllability of a linear system are mathematical duals.

The concept of observability was introduced by the Hungarian-American engineer Rudolf E. Kálmán for linear dynamic systems. A dynamical system designed to estimate the state of a system from measurements of the outputs is called a state observer for that system, such as Kalman filters.

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