  We propose a stability analysis method for sampled-data switched linear
systems with finite-level static quantizers. In the closed-loop system,
information on the active mode of the plant is transmitted to the controller
only at each sampling time. This limitation of switching information leads to a
mode mismatch between the plant and the controller, and the system may become
unstable. A mode mismatch also makes it difficult to find an attractor set to
which the state trajectory converges. A switching condition for stability is
characterized by the total time when the modes of the plant and the controller
are different. Under the condition, we derive an ultimate bound on the state
trajectories by using a common Lyapunov function computed from a randomized
algorithm. The switching condition can be reduced to a dwell-time condition.
