Investigation of Controllability ofDifferential Systems with Special Type Control Effects

Abstract

The work is initiated by the physical applications. We investigate the controllability of the system
x˙ = f(x) + B(t)u,
where B(t) = B1 cos wt + B2 sin wt. The control action has the special structure set by the physical application. For example, the similar control actions exist in the problems of theaircraft landing in the conditions of wind disturbance, or changing the incline of the orbit plane of the space satellite. The article describes the controllability specifications for theproblem in the form of the corresponding theorems.