We consider a firm that produces multiple variants of a product. Products are assembled using a combination of common and dedicated components. We characterize the optimal assortment and derive the optimal inventory levels for the common and dedicated components under various bill-ofmaterial configurations. We investigate the effect of commonality on product variety and compare its benefits und...

The problem of trajectory tracking in the presence of input constraints is considered. The desired trajectory is reparameterized on a slower time scale in order to avoid input saturation. Necessary conditions that the reparameterizing function must satisfy are derived. The deviation from the nominal trajectory is minimized by formulating the problem as an optimal control problem.

This study proves various global stability results for unbounded optimal growth models. The main theorem states that any optimal path converges into the neighborhood of a balanced growth path if future utility is sufficiently weakly discounted. The assumptions allow for non-smooth technologies, joint production, and production in independent sectors. Hence, the results form the integration of n...

Abstract—For a broad class of H∞ preview/delayed control problems, a solvability condition is newly established based on an analytic solution of operator Riccati equation. The condition is characterized by maximal eigenvalue of a compact operator and enables us to overcome the limitation of existing methods. An H∞ control law is also clarified and some interpretation is provided based on the pr...

This paper is concerned with control of a 3 link planar underactuated manipulator that is known as a second order nonholonomic system. Since we have already proposed a control law that ensures convergence of its state to a desirable trajectory and to any desired final point, we propose a method of design of a desirable trajectory that starts from any given initial point, and then passes any giv...