so the controllability vs then the controllability

Both phrases are not commonly used in English. The correct phrase would be "the controllability" without the conjunctions "so" or "then". These conjunctions are not typically used before "the controllability".

Last updated: March 19, 2024 • 540 views

so the controllability

This phrase is not a common construction in English. The conjunction "so" is not typically used before "the controllability".

Avoid using "so" before "the controllability". Instead, use the phrase "the controllability" on its own.

Show examples from the web [+]

eigenvector, so the controllability rank condition does not hold. However, A is similar to its companion matrix. Using the T computed before and z = Tx we have.
Nov 6, 2014 ... There is not enough information to try to calculate matrix A and B is not given, so the controllability matrix can't be constructed. I am thinking the ...
1 ] u(t). Observe that λ = 0 is an eigenvalue of A, and b = [. 1. 1 ] is a corresponding eigenvector, so the controllability rank condition does not hold. However, A is ...
so the controllability question is. Can we transfer any given state xini ∈ Rn to any desired state xdes ∈ Rn? Furthermore,. • How do we find a control that ...

Alternatives:

the controllability

then the controllability

This phrase is not a common construction in English. The conjunction "then" is not typically used before "the controllability".

Avoid using "then" before "the controllability". Instead, use the phrase "the controllability" on its own.

Show examples from the web [+]

This is called the Kalman rank condition [501]. If the system is nonlinear, then the controllability matrix can be evaluated on a linearized version of the system.
Mar 3, 2009 ... Then the controllability Gramian SC(t0,tf ) is not invertible and, as in the proof of Theorem 2.2, there exists a nonzero n × 1 vector xa such that.
0 t. ∫. + eA t −τ. ( )BBT d dt. eA T t −τ. ( ). [ ]dτ. 0 t. ∫. Then, the Controllability Gramian satisfies. ˙. P t( ) = BBT + AP t( )+ P t( )AT , P 0( ) = 0. Lyapunov Equation ...
Suppose the pair {A, B} is controllable then the controllability matrix. U = [B AB A2 B … An-1B]. has rank n which mean that there are n linearly independent ...

Alternatives:

the controllability

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so the controllability vs then the controllability