Sentence examples for using a Lagrangian function from inspiring English sources

The shape derivatives are derived by using a Lagrangian function and the adjoint method.

In this work, such difficulty is resolved by using a Lagrangian function transforming the problem into one of unconstrained minimization.

In this paper, we derive the equations of motion of the snake robot in a Lagrangian framework, i.e. treating the robot as a whole and performing the analysis using a Lagrangian function, which is simple to follow and better suited for studying advanced mechanical phenomena such as elastic link deformations [25], which might be insightful for future research challenges on snake robots.

Unlike Ulbrich [11], we do not use a Lagrangian function in the filter but use the similar type of function as that in Nie and Ma [12].

The general formulation of the problem has been solved using a Lagrangian minimization method.

The equations of motion of the snake robot were derived using a Lagrangian framework.

Some lower bounds are developed using a Lagrangian relaxation approach and the valid inequalities.

The powder dynamics and heating were modeled using a Lagrangian plasma particles interaction model.

In August, four samples were taken over a 24 h period, again using a Lagrangian approach.

For each event, triplicate surface water samples were collected at transects A and E using a Lagrangian sampling approach.

It can be solved using an augmented Lagrangian function in order to create linear subproblems [16].