Linear system theory

EE-611

Lecture 7 - Controllability and Observability (par...

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Lecture 7 - Controllability and Observability (part 2)

  • Necessary and Sufficient Conditions
  1. Definition
  2. Controllability grammian and positive definiteness
  3. Rank of controllability matrix
  4. Condition on eigenvalues
  • Observability
  1. Definition
  2. Observability grammian and positive definiteness
  3. Rank of the observability  matrix
  4. Condition on eigenvalues
  • Reachability of pseudo-states and the input-decoupling zeros
  • Observability and the output-decoupling zeros