This paper extended Bernstein and Hollot's robust stability test to linear time-invariant ( LTI) uncertain sampled-data control
systems. Unlike that of the most previous works,it directly uses the data of the continuous-time plant and therefore it is expected to be
less conservative. This paper uses exponential-like structure construct an upper bound on the standard quadratic Lyapunov function.
This upper bound is independent of the uncertain parameters but a free scalar parameter which is artificially introduced to reduce the
conservativeness of the upper bound. This paper gives out a reliable numerical algorithm. And then this algorithm is improved so that it
can be used to check the robust stability condition for system with an arbitrary GSHF.