State Inequality Constraints Research Articles

On general problems with bounded state variables

This paper serves as the sequel to a recent article by the author concerned with a certain canonical control problem. The present paper extends the first-order necessary conditions obtained there to a general form of the control problem of Bolza with inequality state constraints of the type ψα(t, x)≤0, α=1,...,m.

Application of Pontryagin’s Principle to a Minimum Weight Design Problem

A minimum weight design problem has been formulated as a general problem in optimal-control theory with the addition of state and control inequality constraints. Complete analytical solutions have been derived using the maximum principle of Pontryagin.

Optimum Control, Inequality State Constraints, and the Generalized Newton-Raphson Algorithm

Optimum Control, Inequality State Constraints, and the Generalized Newton-Raphson Algorithm