Sentence examples similar to closed form formula based from inspiring English sources

A closed-form formula based on the coprime matrix fraction description is developed to solve integral sliding surfaces for a class of linear MIMO systems and the control functions are determined.

Using (30) and Lemma 2, a closed form formula for (y_{k}) is obtained.

We are not aware of any (closed form) formula that may help.

Although the closed form formula is not obtained but a parametric relation form of the relay gain matrices are derived.

Linear equation (26) can be solved, from which along with (28) a closed form formula for (a_{k}) is obtained.

Employing such obtained formulas for (a_{k}) and (y_{k}) in (25), we obtain a closed form formula for the solution to (15).

A closed form formula on the error of approximation is derived to demonstrate the accuracy of the proposed discretization model of fractional derivatives.

Note that under the conditions of Corollary 1 equation (22) gives a closed form formula for such solutions due to equation (6).

Under the saturated condition, we obtained a throughput upper bound with the perfect network coding opportunity, and presented a closed form formula for the optimal transmission probability.

The solvability of (25) along with (27) shows that for ((a_{k})_{kge-2}) we can find a closed form formula, from which along with (29) the formulas for (y_{k}) can also be obtained, as described above.

A closed form formula of the variance-covariance matrix is derived for a Gaussian model.