Finite-time bounded control for a class of stochastic nonlinear systems with randomly quantized measurements

In this paper, we investigate the problem of finite-time bounded control for a class of stochastic nonlinear systems with randomly quantized measurements. Initially, a stochastic variable satisfying the Bernoulli distribution is utilized to model the phenomenon of randomly occurring nonlinearity. Besides, the measured output signal is quantized randomly by logarithmic quantizer, where the stochastic variable is modeled by Bernoulli process as well. By employing linear matrix inequities (LMIs) technique, sufficient conditions are derived to guarantee that the augmented error system is finite-time bounded. Subsequently, a numerical example shows the validity of the proposed approach.