Sentence examples for transform the optimal from inspiring English sources

In order to derive the optimality conditions, we transform the optimal control problem into one with control constraints and inequality-constrained trajectories by defining some functions.

Then, considering practical constraint of limited pre-knowledge about CSI, we transform the optimal offline transmission scheduling problem into an energy-aware energy-efficient transmission problem.

Then, Direct Collocation (DC) method is used to transform the optimal control problem into Nonlinear Programming (NLP) problem which can be easily solved using the SNOPT software package.

The original space can be acquired by transforming the optimal matrix.

It transforms the optimal control problem into a Nonlinear Program (NLP) by discretizing the space of admissible control functions u and the path constraints (6d).

Furthermore, the control parameterization method and the time scaling transformation are adjusted to transform the original optimal control problem into a normal nonlinear programming problem, which can be solved by the existing gradient-based method.

To solve above difficult problems second-order cone programming with Distflow branch model was proposed and it could transform the original optimal power flow model to second-order cone optimization problem by convex relaxation techniques [61].

By applying the epsilon method, we transform the given optimal control problem into a variational problem.

In the above, the methodology proposed involves transforming the periodic optimal control problem into a standard optimal control problem, after which standard computational techniques can be applied.

This transforms the time optimal control problem with state space constraint (v_{2} leq V_{G}) into an unconstrained optimal control problem whose terminal set consists of the union of two manifolds: the regular terminal manifold (v_{1}=V_{T}) with penalty (varphi_{1} equiv0) and the guard (v_{2}=V_{G}) with penalty function (varphi_{2}).

To tackle this problem, we transform the problem of designing the optimal PAC-companion structure into a standard stochastic linear programming problem which can be solved efficiently.