Sampled-data control of locally Lipschitz systems

Sampled-data control problem of locally Lipschitz systems is investigated. The stability of the discrete-time systems family in which the sampling period is a parameter is analyzed. The sufficient conditions and necessary conditions of semi-globally exponential stability are given. Based on these conditions the sufficient conditions that guarantee semi-globally exponential stability of the closed-loop sampled-data systems are presented respectively for the general approximation and the Euler approximation. With these results it is pointed out that some examples which were regarded as practically stable are exponential stable.