  This paper considers the optimal control and stabilization problems for
networked control systems (NCSs) with asymmetric information. In this NCSs
model, the remote controller can receive packet-dropout states of the plant,
and the available information for the embedded controller are observations of
states and packet-dropout states sent from the remote controller. The two
controllers operate the plant simultaneously to make the quadratic performance
minimized and stabilize the linear plant. For the finite-horizon case, since
states of the plant cannot be obtained perfectly, we develop the optimal
estimators for the embedded and remote controllers based on asymmetric
information respectively. Then we give the necessary and sufficient condition
for the optimal control based on the solution to the forward-backward
stochastic difference equations (FBSDEs). For the infinite-horizon case, on one
hand, the necessary and sufficient condition is given for the stabilization in
the mean-square sense of the system without the additive noise. On the other
hand, it is shown that the system with the additive noise is bounded in the
mean-square sense if and only if there exist the solutions to the two coupled
algebraic Riccati equations. Numerical examples on the unmanned underwater
vehicle are presented to show the effectiveness of the given algorithm.
