The control law for infinite horizon H-2 control of linear discrete-systems
with norm bounded time-varying uncertainties has been presented in the lit
erature. In this paper, a sufficient condition for robust stability of this
control is presented. Based upon the results obtained, a connection is mad
e between the monotonic behavior of the Riccati difference equation (RDE) a
nd the robust stability of "frozen" closed-loop systems. This connection th
en allows the derivation of a robust stability condition for "frozen" close
d-loop systems, which depends only on the initial condition of the RDE. An
example is included to illustrate the implementation of the proposed theory
.