4. Observability
The notion of observability will determine whether knowledge of the output y is sufficient to uniquely determine the state x.
Theorem 5 – The system (1)-(2) is said to be completely observable if, for any x(t 0 ), there exists t f > t 0 such that knowledge of u and y in the interval [t 0 , t f ] uniquely determines x (t 0 ).
If only certain states (i.e. certain components of the vector x) can be uniquely determined from u and y, these states are said to be observable. A system is therefore completely observable if all its states...
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Observability
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