Page Summary: This lecture discusses degrees of controllability using the controllability Gramian and the singular value decomposition of the ... So far we've studied finite-horizon linear-quadratic optimal control problems.

Reachability And Observability -

This lecture discusses degrees of controllability using the controllability Gramian and the singular value decomposition of the ... So far we've studied finite-horizon linear-quadratic optimal control problems. We begin with the simple test in terms of the rank of the controllability ...

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  • This lecture discusses degrees of controllability using the controllability Gramian and the singular value decomposition of the ...
  • So far we've studied finite-horizon linear-quadratic optimal control problems.
  • We begin with the simple test in terms of the rank of the controllability ...
  • Here we use the Cayley-Hamilton Theorem to show that the full state space is

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