Showing papers in "Ima Journal of Mathematical Control and Information in 1989"

A Computational Method for a Class of Dynamical Optimization Problems in which the Terminal Time is Conditionally Free

Abstract: In this paper, we consider a class of dynamical optimization problems in which the terminal time is determined by a stopping criterion. The dynamical system is described by a system of ordinary differential equations, and the cost functional is to be minimized with respect to the control together with the initial vector. A computational method based on the concept of control parametrization is developed for solving this class of dynamical optimization problems. For illustration, an aeronautical control problem is solved using the proposed method.

A Feedback for an Infinite-Dimensional Linear-Quadratic Control Problem with a Fixed Terminal State

Abstract: This paper deals with the linear-quadratic control problem (LQCP) with a fixed terminal state, for infinite-dimensional systems defined by evolution operators. It is shown that, under a suitable assumption involving the reachability set, the optimal control exists and is unique. To solve the problem effectively, its connection with the minimum-energy control for the perturbed system is exploited. Both open-loop and feedback descriptions of the optimal control are given. Important relationships between the controllability of the system and properties of the optimal control are described, and a feedback approximation to the optimal control is given.

Nonlinear Input-Output Maps for Bilinear Systems and Stability

Abstract: The aim of this paper is to introduce two nonlinear input-output representations of bilinear systems. Sufficient conditions for L00-stability are derived. These representations are believed to compare favorably with the standard Volterra representation.