Sentence examples for functional defined from inspiring English sources

Soft constraint formulation The problem ((mathcal {P}_{A})) is recast as an unconstrained optimal control problem by adding a penalty function to the cost functional defined by (34).

Our aim is to find a unique input function which minimises the functional defined in eq. (2).

More precisely, the new evolution PDE can be directly derived from the problem of minimizing a certain energy functional defined on the level set function.

where is a linear bounded functional defined on the space of absolutely continuous functions.

Consider the functional defined by.

Consider the functional defined by (1.1).

Let A be the linear functional defined as in (4.1).

Then the functional, defined on, satisfies the Palais-Smale condition.

Consider the functional defined as [2, 3] by (2.2).

Alber [1] considered the following functional defined by (1.2).

and is the Chebyshev functional defined by (1.4).