Stability of discrete bilinear systems with time-delayed feedback functions

The stability of discrete time-varying bilinear systems is studied. The control u(t) in the bilinear systems is considered as output feedback functions with time delay, i.e. u(t)=f(y(t), y(t-1),. . .,y(t-r+1)), which is an important case and is absent in the literature. Also, the authors assumed that the feedback function f is of larger classes than the classes given by current literature. The sufficient conditions derived in theorems in the paper depend only on the coefficient matrices of the bilinear systems, so that these results are convenient to check and to apply in engineering problems