On control problems with bounded state variables

On Control Problems with Bounded State Variables

The conjugate gradient method for optimal control problems with bounded control variables

Absfract-This paper extends the conjugate gradient minimization method of Fletcher and Reeves to optimal control problems. The technique is directly applicable only to unconstrained problems; if terminal conditions and inequality constraints are present, the problem must be converted to an unconstrained form; e.g., by penalty functions. Only the gradient trajectory, its norm, and one additional...

Inclusion Problems for Patterns with a Bounded Number of Variables

We study the inclusion problems for pattern languages that are generated by patterns with a bounded number of variables. This continues the work by Freydenberger and Reidenbach (Information and Computation 208 (2010)) by showing that restricting the inclusion problem to significantly more restricted classes of patterns preserves undecidability, at least for comparatively large bounds. For small...

Control Problems with State

This article gives an optimality system for a control problem with state constraints for a Penrose-Fife model for phase transitions.

On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications

In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.