The minimal time control of multi-system problems with energy constrained inputs†

Abstract

This paper presents an. application, of functional analysis to the minimal∗time control problem where two or more energy constrained systems of the same order must be taken to an initially unknown common point in state space. Two different types of problems with different forms of the energy constraint are described in detail. The development depends on the fact that the reachable region of a system with an energy constraint on the input vector is an ellipsoid.

Notes

†Communicated by Professor K. Mizukami.

Additional information

Notes on contributors

JUKI SILMBERG‡

Present address: Garrett Manufacturing Ltd., Toronto, Ontario, Canada.

KOICHI MIZUKAMI§

Present address: Department of Electrical Engineering, University of Hiroshima Hiroshima, Japan.