This paper deals with an optimal control problem for a linear system of first-order hyperbolic equations with a function on the right-hand side determined from controlled bilinear ordinary differential equations. These ordinary differential equations are linear with respect to state functions...

An optimal control tool is described that is particularly useful for computing rules of large-scale models where users might otherwise have difficulty determining the state vector a priori and where the inversion of large, sparse matrices is involved. A small-scale demonstration is presented, as...

A new theorem is proposed for allocating the value of an open-loop optimal control problem over the planning period between its various state variables. Potential applications in economics and management are suggested

We investigate a class of optimal control problems that exhibit constant exogenously given delays in the control in the equation of motion of the differential states. Therefore, we formulate an exemplary optimal control problem with one stock and one control variable and review some analytic...

We investigate a class of optimal control problems that exhibit constant exogenously given delays in the control in the equation of motion of the differential states. Therefore, we formulate an exemplary optimal control problem with one stock and one control variable and review some analytic...

Optimal control and differential games continue to attract strong interest from researchers interested in dynamical problems and models in management science. This volume explores the application of these methodologies to new as well as to classical decision problems in management sciences and...

1. Introduction -- 2. Control Problem -- Notation and definitions, motivation of later results -- 3. Railroad Train Example -- Motivation of a “bang-bang principle,” the time optimal and minimum fuel problems -- 4. Controllability -- Restricted and unrestricted control, the controllability...