抄録
In this paper the problem of stabilizing a bilinear system by a state feedback is discussed. The stabilization by a linear feedback law is first considered, where a linear feedback law is designed for a linearized system. The size of the region in which the bilinear system can be asympotically stabilized by the above obtained linear feedback law is estimated. From this estimate it is shown that the stabilizable region with the linear feedback law is not sufficiently large for most applications. A nonlinear feedback law with a quadratic polynomial in state variables is then introduced. A sufficient condition is derived, under which the bilinear system can be stabilized in an arbitrarily given region by the quadratic feedback law. A numerical example is given to show the usefulness of the results.
